Free Printable Core Alg 2: Factoring Review 1.4, 1.5, 1.6

1.

1.5.E1

Factor

$3x^2-13xy+4y^2$

a)

(3x - y)(x - 4y)

b)

(3x + 4y)(x - y)

c)

(3x - 2y)(x - 2y)

d)

(3x - 4y)(x + y)

e)

(3x + y)(x + 4y)

2.

1.5.E2

Factor

$-4m^2+11mn+3n^2$

a)

(m + 3n)(-4m + n)

b)

(m - 3n)(-4m - n)

c)

(m - 3n)(4m + n)

d)

(m - n)(-4m + 3n)

e)

(m + n)(-4m - 3n)

3.

1.5.E3

Factor

$80p^2+42pq-5q^2$

a)

(2p + 5q)(40p - q)

b)

(5p - q)(16p + 4q)

c)

(10p - q)(8p + 5q)

d)

(8p - 5q)(10p + q)

e)

(4p + q)(20p - 2q)

4.

1.5.E4

Factor

$2r^2-11rs+5s^2$

a)

(r - 2s)(r - 5s)

b)

(2r + s)(r + 5s)

c)

(r - s)(2r + 5s)

d)

(r - 5s)(2r - s)

e)

(r + 5s)(2r + s)

5.

1.5.E5

Factor

$14d^2-7dw-147w^2$

a)

14(d + 3w)(d - 7w)

b)

7(2d - 3w)(d + 7w)

c)

7(2d - 7w)(d + 3w)

d)

7(2d + 7w)(d - 3w)

e)

14(d - 3w)(d + 7w)

6.

1.5.17

Factor

$3x^2-5xy-2y^2$

a)

(3x + 2y)(x - y)

b)

(3x - y)(x + 2y)

c)

(3x - 2y)(x + y)

d)

(3x + y)(x - 2y)

e)

(3x + 5y)(x - y)

7.

1.5.18

Factor

$27x^2+42xy+8y^2$

a)

(3x + 2y)(9x + 4y)

b)

(27x + 8y)(x + 5y)

c)

(3x + 4y)(9x + 2y)

d)

(27x + 42y)(x + y)

e)

(9x + 4y)(3x + 2y)

8.

1.5.19

Factor

$33x^2-70xy-48y^2$

a)

(3x - 11y)(11x + 4y)

b)

(3x - 28y)(11x + 2y)

c)

(11x+6y)(3x -8y)

d)

(33x + 48y)(x - 2y)

e)

(11x + 48y)(3x - 2y)

9.

1.5.20

Factor

$117x^2-19xy-56y^2$

a)

(39x - 2y)(3x + 28y)

b)

(9x - 7y)(13x + 8y)

c)

(13x + 8y)(9x+7y)

d)

(39x - 7y)(3x + 8y)

e)

(13x - 4y)(9x + 14y)

10.

1.5.21

Factor

$14x^2-7xy-147y^2$

a)

14(x - 7y)(x + 3y)

b)

14(x + 7y)(x - 3y)

c)

7(2x - 7y)(x + 3y)

d)

7(2x + 7y)(x - 3y)

e)

7(2x - 3y)(2x + 7y)

11.

1.5.22

Factor

$72x^2+228xy-84y^2$

a)

36(2x + 3y)(2x + 7y)

b)

12(2x + 7y)(3x - y)

c)

6(12x + 38y)(x + y)

d)

24(3x + 7y)(x - 2y)

e)

12(6x + 14y)(x - 3y)

12.

1.5.23

Factor

$24x^2-100xy+96y^2$

a)

2(12x^2 - 50xy + 48y^2)

b)

4(2x + 3y)(3x + 8y)

c)

8(3x - 4y)(x - 2y)

d)

6(4x - 5y)(2x + 6y)

e)

4(2x - 3y)(3x - 8y)

13.

1.5.24

Factor

$-16n^2-2nm+3m^2$

a)

(2n - m)(-8n + 3m)

b)

(16n + 2m)(-n + m)

c)

(-8n + 3m)(2n + m)

d)

(4n + m)(-4n + 3m)

e)

(8n - m)(-2n - 3m)

14.

1.5.1

Factor: $x^2-2x-8$

a)

(x - 4)(x + 2)

b)

(x + 8)(x - 1)

c)

(x - 8)(x + 1)

d)

(x + 4)(x - 2)

e)

(x +2)(x + 4)

15.

1.5.2

Factor: $x^2+4x-21$

a)

(x + 7)(x - 3)

b)

(x + 1)(x + 21)

c)

(x - 4)(x + 5)

d)

(x - 7)(x + 3)

e)

(x + 3)(x +7)

16.

1.5.3

Factor: $x^2+2x-15$

a)

(x + 6)(x - 2)

b)

(x + 5)(x - 3)

c)

(x + 3)(x +5)

d)

(x - 6)(x + 2)

e)

(x - 5)(x + 3)

17.

1.5.4

Factor: $x^2+6x-7$

a)

(x + 5)(x + 1)

b)

(x + 3)(x + 2)

c)

(x - 7)(x + 1)

d)

(x + 1)(x + 7)

e)

(x + 7)(x - 1)

18.

1.5.5

Factor: $x^2+14x+24$

a)

(x + 12)(x + 2)

b)

(x + 16)(x - 2)

c)

(x + 14)(x + 1)

d)

(x + 6)(x + 8)

e)

(x + 10)(x + 4)

19.

1.5.6

Factor: $x^2-5x-36$

a)

(x - 8)(x + 5)

b)

(x - 12)(x + 3)

c)

(x - 9)(x + 4)

d)

(x - 4)(x + 9)

e)

(x - 6)(x + 6)

20.

1.5.7

Factor: $2x^2-x-1$

a)

(2x + 1)(x + 1)

b)

(x + 1)(2x - 1)

c)

(2x - 1)(x + 1)

d)

(x - 1)(2x - 1)

e)

(2x + 1)(x - 1)

21.

1.5.8

Factor: $6x^2+x-2$

a)

(2x + 1)(3x + 2)

b)

(6x + 1)(x - 2)

c)

(2x - 1)(3x + 2)

d)

(3x - 2)(2x + 1)

e)

(x + 2)(6x - 1)

22.

1.5.9

Factor: $8x^2-2x-3$

a)

(2x + 3)(4x - 1)

b)

(2x - 3)(4x + 1)

c)

(4x + 3)(2x - 1)

d)

(4x - 3)(2x + 1)

e)

(8x + 3)(x - 1)

23.

1.5.10

Factor: $15x^2-20x-10$

a)

$\left(5(3x-4x-2\right)$

b)

$\left(5(3x^2-4x-2\right)$

c)

5(3x + 1)(x - 2)

d)

15(x - 2)(x + 1)

e)

(3x - 2)(x + 1)

24.

1.5.11

Factor: $12x^2-11x-5$

a)

(6x - 1)(2x + 5)

b)

(2x + 5)(6x - 1)

c)

(4x + 5)(3x - 1)

d)

(3x + 1)(4x - 5)

e)

(12x + 1)(x - 5)

25.

1.5.12

Factor: $28x^2-35x-63$

a)

7(4x - 9)(x + 1)

b)

7(2x - 3)(2x + 21)

c)

28(x - 3)(x + 1)

d)

14(2x - 3)(x + 3)

e)

7(4x + 9)(x - 1)

26.

1.5.13

Factor: $6x^2+72x+210$

a)

6(x + 5)(x + 7)

b)

6(x + 1)(x + 35)

c)

6(x + 3)(x + 12)

d)

2(x + 6)(x + 5)

e)

3(x + 10)(x + 7)

27.

1.5.14

Factor: $32x^2-76x+24$

a)

4(8x - 6)(x - 1)

b)

2(16x - 3)(x - 4)

c)

4(8x - 3)(x - 2)

d)

8(4x - 3)(x + 1)

e)

4(8x + 3)(x + 2)

28.

1.5.15

Factor: $56x^2-53x+12$

a)

(2x - 3)(28x - 4)

b)

(4x - 1)(14x - 12)

c)

(8x - 2)(7x - 6)

d)

(56x - 12)(x - 1)

e)

(7x - 4)(8x - 3)

29.

1.5.16

Factor: $60x^2+22x-14$

a)

2(3x + 1)(10x - 7)

b)

4(15x^2 - 2x + 1)

c)

2(3x - 1)(10x + 7)

d)

5(12x^2 + 4x - 2)

e)

3(20x^2 + 7x - 4)

30.

1.4.1

Factor: 2x-8

a)

4(x - 2)

b)

2(x - 4)

c)

2(x + 4)

d)

2(x - 2)

e)

2x - 8

31.

1.4.13

Factor $x^2+6x+9$

a)

(x + 2)(x + 4)

b)

(x + 1)(x + 5)

c)

(x + 3)(x + 3)^2

d)

Prime

e)

(x + 3)^2

32.

1.4.31

Factor: $25x^2-16$

a)

(5x - 2)(5x + 2)

b)

(25x - 16)(1)

c)

(5x - 8)(5x + 8)

d)

(10x - 4)(2.5x + 4)

e)

(5x - 4)(5x + 4)

33.

1.4.1+

Zoe has a ribbon that is 2x - 8 meters long. She wants to cut it into equal parts. Factor: 2x-8

a)

4(x - 2)

b)

2(x - 4)

c)

2(x + 4)

d)

2(x - 2)

e)

2x - 8

34.

1.4.43

Factor $x^3-125$

a)

(x - 5)(x^2 + 10x + 25)

b)

(x - 5)(x^2 - 5x + 25)

c)

(x + 5)(x^2 + 5x - 25)

d)

(x - 5)(x^2 + 5x + 25)

e)

(x + 5)(x^2 - 5x + 25)

35.

1.4.2

Factor 4x-32

a)

4(x + 8)

b)

8(x - 4)

c)

2(2x - 16)

d)

4(2x - 16)

e)

4(x - 8)

36.

1.4.3

Factor $5x^2+45x$

a)

5x(9 + x)

b)

5(x^2 + 9x)

c)

5x(x + 9)

d)

5(x + 9x)

e)

x(5x + 45)

37.

1.4.4

Factor $6x^3+3x^2$

a)

3x(2x^2 + 1)

b)

2x(3x^2 + 1)

c)

6x^2(1 + 0.5x)

d)

x^2(6x + 3)

e)

3x^2(2x + 1)

38.

1.4.5

Factor $4xy-x$

a)

x(4y + 1)

b)

2(2xy - x)

c)

4y(x - 1)

d)

x(2y + 2)

e)

x(4y - 1)

39.

1.4.6

Factor $14x^5-7x^3$

a)

7x^3(2x^2 + 2)

b)

x^3(14x^2 - 7)

c)

14x^5(1 - 0.5x^2)

d)

7x^3(2x^2 + 1)

e)

7x^3(2x^2 - 1)

40.

1.4.7

Factor $35x^4y^6+7x^2y^3-xy$

a)

xy(35x^3y^5 - 7xy^2 - 1)

b)

xy(35x^3y^5 + 7xy^2 - 1)

c)

xy(35x^3y^5 + 14xy^2 - 1)

d)

xy(35x^3y^5 + 7xy^2 + 1)

e)

xy(5x^3y^5 + 7xy^2 - 1)

41.

1.4.8

Factor $15x^{24}y^{12}+45x^6y^6-10x^2y^3$

a)

5x^2y^3(3x^{22}y^9 + 9x^4y^3 + 2)

b)

5x^2y^3(3x^{22}y^9 + 4x^4y^3 - 2)

c)

5x^2y^3(3x^{22}y^9 - 9x^4y^3 - 2)

d)

10x^2y^3(3x^{22}y^9 + 9x^4y^3 - 2)

e)

5x^2y^3(3x^{22}y^9 + 9x^4y^3 - 2)

42.

1.4.9

Factor $c\left(d+1\right)-5\left(d+1\right)$

a)

(d+1)(c-5)

b)

(d-1)(c-5)

c)

(d+1)(c+5)

d)

(d+1)(c-1)

e)

(d-1)(c+1)

43.

1.4.9+

Factor $a\left(b-2\right)+3\left(b-2\right)$

a)

(b-2)(a+3)

b)

(b+2)(a+3)

c)

(b-2)(a-3)

d)

(b+2)(a-3)

e)

(b-2)(a+2)

44.

1.4.10

Factor $3v\left(w-12\right)+7z\left(w-12\right)$

a)

(w-12)(3v - 7z)

b)

(w+12)(3v + 7z)

c)

(w-12)(3v + 7z)

d)

(w-12)(3 + 7z)

e)

(w-12)(3v + 7)

45.

1.4.11

Factor $r\left(r-5\right)+7\left(r-5\right)$

a)

(r-5)(r-12)

b)

(r+5)(r-7)

c)

(r-5)(r-2)

d)

(r-5)(r+7)

e)

(r+7)(r+5)

46.

1.4.12

Factor $8q\left(2m+3\right)-5\left(2m+3\right)$

a)

(2m+3)(-8q-5)

b)

(2m+3)(8q+5)

c)

(2m+3)(8q-5)

d)

(2m+3)(5-8q)

e)

(2m-3)(8q-5)

47.

1.4.13.

Factor $x^2+6x+11$

a)

(x + 2)(x + 4)

b)

Prime

c)

(x + 3)(x + 3)^2

d)

(x + 6)(x + 3)

e)

(x + 3)^2

48.

1.4.19

Factor $-4x^2-24x-36$

a)

-4(x + 6)(x - 1)

b)

-4(x + 4)(x + 2)

c)

Prime

d)

-4(x + 3)^2

e)

-4(x - 3)^2

49.

1.4.19.

Factor $-4x^2-24x-37$

a)

-4(x + 6)(x - 1)

b)

-4(x + 4)(x + 2)

c)

-4(x + 2)^2

d)

-4(x + 3)^2

e)

Prime

50.

1.4.14

Factor $x^2+10x+25$

a)

Prime

b)

(x + 1)(x + 25)

c)

(x + 5)^2

d)

(x + 2)(x + 3)

e)

(x - 5)(x - 5)

51.

1.4.14.

Factor $x^2+10x+27$

a)

(x + 10)(x - 5)

b)

(x + 1)(x + 25)

c)

(x + 5)^2

d)

Prime

e)

(x - 5)(x - 5)

52.

1.4.14.

Factor $x^2+10x+29$

a)

(x + 10)(x - 5)

b)

(x + 1)(x + 25)

c)

(x + 5)^2

d)

Prime

e)

(x - 5)(x - 5)

53.

1.4.15

Factor $x^2-8x+16$

a)

Prime

b)

(x - 1)(x - 15)

c)

(x - 4)^2

d)

(x + 4)(x - 4)

e)

(x - 2)(x - 8)

54.

1.4.15.

Factor $x^2-8x+17$

a)

(x - 4)(x + 4)

b)

(x - 1)(x - 15)

c)

(x - 4)^2

d)

(x + 4)(x - 4)

e)

Prime

55.

1.4.16

Factor $x^2-14x+49$

a)

Prime

b)

(x - 7)(x + 7)

c)

(x + 7)(x - 7)

d)

(x - 7)^2

e)

(x - 14)(x - 5)

56.

1.4.16.

Factor $x^2-14x+51$

a)

(x - 2)(x - 12)

b)

(x - 7)(x + 7)

c)

(x + 7)(x - 7)

d)

(x - 7)^2

e)

Prime

57.

1.4.20

Factor $9x^2-24x+16$

a)

(3x - 4)^2

b)

(3x + 4)^2

c)

Prime

d)

(9x - 8)(x - 2)

e)

(3x - 2)(3x - 8)

58.

1.4.20.

Factor $9x^2-24x+13$

a)

(3x - 4)^2

b)

(3x + 4)^2

c)

(9x^2 - 16)

d)

Prime

e)

(3x - 2)(3x - 8)

59.

1.4.17

Factor $x^2+12x+36$

a)

(x + 12)(x + 3)

b)

Prime

c)

(x + 6)^2

d)

(x - 6)(x - 6)

e)

(x + 3)(x + 3)

60.

1.4.17.

Factor $x^2+12x+31$

a)

(x + 12)(x + 3)

b)

(x + 4)(x + 9)

c)

(x + 6)^2

d)

Prime

e)

(x + 3)(x + 3)

61.

1.4.18

Factor $x^2-16x+64$

a)

(x - 8)^2

b)

(x - 6)(x - 6)

c)

(x - 10)(x + 2)

d)

(x + 8)(x - 8)

e)

Prime

62.

1.4.18.

Factor $x^2-16x+63$

a)

(x - 8)^2

b)

(x - 6)(x - 6)

c)

(x - 10)(x + 2)

d)

Prime

e)

(x - 4)(x - 4)

63.

1.4.21

Factor $25x^2+30x+9$

a)

Prime

b)

(5x + 1)(5x + 9)

c)

(5x - 3)(5x - 3)

d)

(5x + 3)^2

e)

(25x + 3)(x + 3)

64.

1.4.21.

Factor $25x^2+30x+11$

a)

Prime

b)

(5x + 1)(5x + 9)

c)

(5x - 3)(5x - 3)

d)

(5x + 3)^2

e)

(25x + 3)(x + 3)

65.

1.4.22

Factor $16x^2-88x+121$

a)

Prime

b)

(2x - 5)(8x - 25)

c)

(8x - 11)(2x - 11)

d)

(4x - 11)^2

e)

(4x + 11)(4x - 11)

66.

1.4.22.

Factor $16x^2-88x+123$

a)

Prime

b)

(2x - 5)(8x - 25)

c)

(8x - 11)(2x - 11)

d)

(4x - 11)^2

e)

(4x + 11)(4x - 11)

67.

1.4.23

Factor $4a^2+4ar+r^2$

a)

(2a - r)^2

b)

(4a + r)(a + r)

c)

(4a^2 + 2ar + r^2)

d)

(2a + 2r)(2a - r)

e)

(2a + r)^2

68.

1.4.24

Factor $9n^2-6np+p^2$

a)

(3n + p)^2

b)

(9n^2 + 6np + p^2)

c)

(3n - 2p)(3n + 2p)

d)

(3n - p)^2

e)

(9n - p)(n + p)

69.

1.4.25

Factor $x^4+4x^2y+4y^2$

a)

(x^2 + 2y)^2

b)

(x^2 - 4y)^2

c)

(x^2 + 4y)^2

d)

(x^2 + 2y + 1)(x^2 + 2y - 1)

e)

(x^2 - 2y)^2

70.

1.4.26.

Factor $4a^4+4a^2c+c^2$

a)

(2a^2 - c)^2

b)

(4a^2 + c)^2

c)

(2a^2 + 2c)(2a^2 - 2c)

d)

(2a^2 + c)^2

e)

(4a^4 + 2c + c^2)

71.

1.4.27

Factor $\left(2x+y\right)^2+2\left(2x+y\right)+1$

a)

(2x+y+1)^2

b)

(2x+y+3)(2x+y-1)

c)

(2x+y+2)^2

d)

(2x+y)(2x+y+1)

e)

(2x+y-1)^2

72.

1.4.28

Factor $\left(-x+3\right)^2+2y\left(-x+3\right)+y^2$

a)

(-x + 3 - y)^2

b)

(-x + 3 + y)^2

c)

(-x + 3 + 2y)^2

d)

(-x + 3 - 2y)^2

e)

(-x + 3 + y^2)

73.

1.4.29

Factor $4x^2+4x\left(5y-3\right)+\left(5y-3\right)^2$

a)

(2x + 5y - 3)^2

b)

(4x^2 + 10y - 6)

c)

(2x + 3y - 5)(2x + 3y + 5)

d)

(4x + 5y - 3)(x + 1)

e)

(2x - 5y + 3)^2

74.

1.4.30

Factor $25x^2+10x\left(y^2+5\right)+\left(y^2+5\right)^2$

a)

(5x + y^2 + 5)^2

b)

(5x + y^2 - 5)^2

c)

(5x - y^2 + 5)^2

d)

(5x - 2y^2 - 5)^2

e)

(5x + 2y^2 + 5)^2

75.

1.4.31

Factor: $25x^2-16$

a)

(5x - 2)(5x + 2)

b)

(25x - 16)(1)

c)

(5x - 8)(5x + 8)

d)

(10x - 4)(2.5x + 4)

e)

(5x - 4)(5x + 4)

76.

1.4.32

Factor: $9x^2-121$

a)

(9x + 121)(x - 1)

b)

(3x - 1)(3x + 1)

c)

(3x - 12)(3x + 12)

d)

(3x - 11)(3x + 11)

e)

(9x - 11)(x + 11)

77.

1.4.33

Factor $36x^2-25$

a)

(9x - 5)(4x + 5)

b)

(6x - 5)(6x + 5)

c)

(2x - 1)(18x + 25)

d)

(6x - 6)(6x + 6)

e)

(12x - 3)(3x + 3)

78.

Is this a perfect square trinomial?
x² + 16x + 64

a)

Yes

b)

No

79.

1.4.34

Factor $81x^2-169$

a)

(3x - 13)(27x + 13)

b)

(9x - 1)(9x + 1)

c)

(81x - 169)

d)

(9x - 13)(9x + 13)

e)

(27x - 13)(3x + 13)

80.

1.4.35

Factor $9a^4-81b^2$

a)

(3a^2 - 3b)(3a^2 + 3b)

b)

3(3a^2 - 27b)(3a^2 + 27b)

c)

(3a^2 - 9b)(3a^2 + 9b)

d)

9(a^4 - 9b^2)

e)

9(a^2 - 3b)(a^2 + 3b)

81.

1.4.36

Factor $64c^4-81r^2$

a)

(4c^2 - 9r)(16c^2 + 9r)

b)

(8c^2 - 3r)(8c^2 + 3r)

c)

(16c^2 - 9r)(4c^2 + 9r)

d)

(8c^2 - 9r)(8c^2 + 9r)

e)

(2c^2 - 9r)(32c^2 + 9r)

82.

Is this a perfect square trinomial?
x² + 14x + 49

a)

Yes

b)

No

83.

1.4.37

Factor $49u^4-225z^2$

a)

(7u^2 - 15z)(7u^2 - 15z)

b)

(49u^4 + 225z^2)

c)

(49u^2 - 225z)(u^2 + z)

d)

(7u^2 - 15z)(7u^2 + 15z)

e)

(7u^2 + 15z)(7u^2 + 15z)

84.

1.4.38

Factor $400b^4-9c^2$

a)

(40b^2 - 3c)(10b^2 + 3c)

b)

(10b^2 - 3c)(40b^2 + 3c)

c)

(20b^2 - 9c)(20b^2 + 9c)

d)

(25b^2 - 3c)(16b^2 + 3c)

e)

(20b^2 - 3c)(20b^2 + 3c)

85.

1.4.39

Factor $\left(d-1\right)^2-49$

a)

(d - 1)(d - 49)

b)

(d - 5)(d + 5)

c)

(d - 8)(d + 6)

d)

(d - 7)(d + 7)

e)

(d - 6)(d - 8)

86.

1.4.40

Factor $\left(y+2\right)^2-36$

a)

(y - 4)(y + 8)

b)

(y - 2)(y + 10)

c)

(y + 2)(y - 18)

d)

(y - 6)(y + 6)

e)

(y + 4)(y + 8)

87.

Is this a perfect square trinomial?
x² + 6x + 25

a)

Yes

b)

No

88.

1.4.41

Factor $\left(3g-2\right)^2-16k^2$

a)

(3g - 4 - 4k)(3g + 4 + 4k)

b)

(3g + 2 - 4k)(3g + 2 + 4k)

c)

(3g - 2 - 4k)(3g - 2 + 4k)

d)

(3g - 2 - 2k)(3g - 2 + 2k)

e)

(3g - 2 - 8k)(3g - 2 + 8k)

89.

1.4.42

Factor $4\left(5w-11\right)^2-25\left(w+3\right)^2$

a)

(5w - 11)(15w + 7)

b)

(5w + 37)(15w - 7)

c)

(5w - 37)(15w - 7)

d)

(5w - 3)(15w + 11)

e)

(5w + 11)(15w - 37)

90.

Is this a perfect square trinomial?
x² + 18x + 9

a)

Yes

b)

No

91.

1.4.43

Factor $x^3-125$

a)

(x - 5)(x^2 + 10x + 25)

b)

(x - 5)(x^2 - 5x + 25)

c)

(x + 5)(x^2 + 5x - 25)

d)

(x - 5)(x^2 + 5x + 25)

e)

(x + 5)(x^2 - 5x + 25)

92.

1.4.44

Factor $x^3-8$

a)

(x - 2)(x^2 + 2x + 4)

b)

(x + 3)(x^2 - 3x + 9)

c)

(x - 1)(x^2 + x + 1)

d)

(x + 2)(x^2 - 2x + 4)

e)

(x - 4)(x^2 + 4x + 16)

93.

1.4.45

Factor $w^5+1$

a)

(w - 1)(w^4 + w^3 + w^2 + w + 1)

b)

(w + 1)(w^4 - w^3 + w^2 - w + 1)

c)

(w^5 - 1)(w + 1)

d)

(w^2 + 1)(w^3 - w + 1)

e)

(w + 1)(w^3 + w^2 + w + 1)

94.

1.4.46

Factor $x^5+3125$

a)

(x - 5)(x^4 + 5x^3 + 25x^2 + 125x + 625)

b)

(x + 1)(x^4 + 1x^3 + 1x^2 + 1x + 1)

c)

(x + 5)(x^4 - 5x^3 + 25x^2 - 125x + 625)

d)

(x + 10)(x^4 - 10x^3 + 100x^2 - 1000x + 10000)

e)

(x - 5)(x^4 + 5x^3 + 25x^2 + 125x - 625)

95.

1.4.47

Factor $x^5+y^5$

a)

(x - y)(x^4 + x^3y + x^2y^2 + xy^3 + y^4)

b)

(x + y)(x^4 + x^3y + x^2y^2 + xy^3 + y^4)

c)

(x + y)(x^4 + x^3y - x^2y^2 - xy^3 + y^4)

d)

(x + y)(x^4 - x^3y + x^2y^2 - xy^3 + y^4)

e)

(x + y)(x^4 - x^3y + x^2y^2 + xy^3 + y^4)

96.

1.4.48

Factor $a^7+y^7$

a)

(a - y)(a^6 + a^5y + a^4y^2 + a^3y^3 + a^2y^4 + ay^5 + y^6)

b)

(a + y)(a^6 - a^5y + a^4y^2 - a^3y^3 + a^2y^4 - ay^5 + y^6)

c)

(a + y)(a^6 - a^5y + a^4y^2 - a^3y^3 + a^2y^4 + ay^5 + y^6)

d)

(a + y)(a^6 + a^5y + a^4y^2 + a^3y^3 + a^2y^4 + ay^5 + y^6)

e)

(a + y)(a^6 - a^5y + a^4y^2 - a^3y^3 + a^2y^4 - ay^5 + y^5)

97.

1.4.49

Factor $8x^3-27y^3$

a)

(8x - 27y)(x^2 + 3y^2)

b)

(4x - 3y)(2x^2 + 6xy + 9y^2)

c)

(2x + 3y)(4x^2 - 6xy + 9y^2)

d)

(2x - 3y)(4x^2 - 6xy - 9y^2)

e)

(2x - 3y)(4x^2 + 6xy + 9y^2)

98.

1.4.50.

Factor $216x^3-64v^3$

a)

(9x - 4v)(24x^2 + 16xv + 8v^2)

b)

(12x - 8v)(18x^2 + 12xv + 8v^2)

c)

(6x + 4v)(36x^2 - 24xv + 16v^2)

d)

(6x - 4v)(36x^2 + 24xv + 16v^2)

e)

(3x - 2v)(72x^2 + 48xv + 32v^2)

99.

Identify the perfect square trinomial.

a)

$x^2+4x+9$

b)

$x^2+5x+9$

c)

$x^2+6x+9$

d)

$x^2+7x+9$

100.

Identify the perfect square trinomial.

a)

$x^2+16x+64$

b)

$x^2+34x+64$

c)

$x^2+8x+64$

d)

$x^2+20x+64$

101.

Identify the perfect square trinomial.

a)

$x^2+8x+64$

b)

$x^2+20x+64$

c)

$x^2+16x+64$

d)

$x^2+4x+64$

102.

Identify the perfect square trinomial.

a)

$9m^2+6m+1$

b)

$9m^2+3m+1$

c)

$9m^2+9m+1$

d)

$9m^2+10m+1$

103.

Identify the perfect square trinomial.

a)

$9k^2+24k+16$

b)

$9k^2+12k+16$

c)

$9k^2+13k+16$

d)

$9k^2+10k+16$

104.

Identify the perfect square trinomial.

a)

$25y^2-4$

b)

$25y^2-20y+4$

c)

$25y^2-10y+4$

d)

$25y^2-12y+4$

105.

Identify the perfect square trinomial.

a)

$100k^2+60k+9$

b)

$100k^2+30k+9$

c)

$100k^2+9$

d)

$100k^2+26k+9$

106.

Identify the perfect square trinomial.

a)

$x^6+4x^3+4$

b)

$x^6+2x^3+4$

c)

$x^5+4x^3+4$

d)

$x^9+4x^3+4$

107.

Identify the perfect square trinomial.

a)

$81y^2-18ym+4m^2$

b)

$81y^2-36ym+4m^2$

c)

$9y^2-18ym+4m^2$

d)

$9y^2-36ym+4m^2$

108.

Identify the perfect square trinomial.

a)

$x^2-24xy+144y^2$

b)

$x^2-12xy+144y^2$

c)

$x^2-6xy+144y^2$

d)

$x^2-36xy+144y^2$

109.

Identify the perfect square trinomial.

a)

$x^2+169$

b)

$x^2+13x+169$

c)

$x^2+26x+169$

d)

$x^2+13x+26$

110.

Identify the perfect square trinomial.

a)

$x^{10}+10x^5+100$

b)

$x^{25}+20x^5+100$

c)

$x^{16}+20x^4-100$

d)

$x^{\frac{2}{3}}+20x^{\frac{1}{3}}+100$

111.

Identify the perfect square trinomial.

a)

$x^2+18xy+81y$

b)

$x^2+20xy+25$

c)

$x^2+6xy+9y^2$

d)

$x^2+7x+14$

112.

Identify the perfect square trinomial.

a)

$2x^2+20x+5$

b)

$25y^2-20y+4$

c)

$25y^2-10y+4$

d)

$25y^2-12y+4$

113.

Identify the perfect square trinomial.

a)

$x^2+6x+36$

b)

$x^2+12x+36$

c)

$x^2+13x+36$

d)

$x^2-18x+36$

114.

Which of the following is a perfect square trinomial?

a)

$x^2 + 6x + 9$

b)

$x^2 + 5x + 6$

c)

$x^2 - 4x + 4$

d)

$x^2 + x - 1$

115.

Which of the following is NOT a property of perfect square trinomials?

a)

The first and last terms are perfect squares.

b)

The middle term is twice the product of the square roots of the first and last terms.

c)

The coefficient of the middle term is always positive.

d)

The trinomial can be factored into two identical binomials.

116.

If $x^2 + 10x + 25$ is a perfect square trinomial, what is its factored form?

a)

$(x + 5)^2$

b)

$(x - 5)^2$

c)

$(x + 10)^2$

d)

$(x - 10)^2$

117.

Which expression represents a perfect square trinomial? Choose all that apply.

a)

$9x^2 - 12x + 4$

b)

$9x^2 + 24x + 16$

c)

$4x^2 + 4x + 1$

d)

$16x^2 - 8x + 1$

118.

What is the factored form of the perfect square trinomial $4x^2 + 12x + 9$ ?

a)

$(2x + 3)^2$

b)

$(2x - 3)^2$

c)

$(4x + 9)^2$

d)

$(4x - 9)^2$

119.

Which of the following is a perfect square trinomial?

a)

$x^2 - 10x + 25$

b)

$x^2 + 10x - 25$

c)

$x^2 - 5x + 25$

d)

$x^2 + 5x - 25$

120.

What is the factored form of $x^2 + 14x + 49$ ?

a)

$(x + 7)^2$

b)

$(x - 7)^2$

c)

$(x + 14)^2$

d)

$(x - 14)^2$

121.

Which of the following expressions is NOT a perfect square trinomial?

a)

$25x^2 + 50x + 25$

b)

$x^2 + 2x + 1$

c)

$9x^2-30x+9$

d)

$4x^2 + 4x + 1$

122.

What is the factored form of the perfect square trinomial $9x^2 + 30x + 25$ ?

a)

$(3x + 5)^2$

b)

$(3x - 5)^2$

c)

$(9x + 25)^2$

d)

$(9x - 25)^2$

123.

If $a^2 + 2ab + b^2$ is a perfect square trinomial, what is its factored form?

a)

$(a + b)^2$

b)

$(a - b)^2$

c)

$(a + 2b)^2$

d)

$(2a + b)^2$

124.

multiply $\left(2x-5\right)^2$

a)

$4x^2-25$

b)

$4x^2-10x-25$

c)

$4x^2+25$

d)

$4x^2-20x+25$

e)

$4x^2-20x-25$

125.

What is the GCF?

5x²+ 20x

a)

5

b)

x

c)

5x

d)

20x

126.

What is the GCF?

16x⁵+ 12x⁴ - x³

a)

x⁵

b)

12x

c)

6x³

d)

x³

127.

Factor:
2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n)

c)

2n³(10-8n²)

d)

3n(1-4n)

128.

Factor:
56a³-8a

a)

8a²(56a³-8a)

b)

8a(7a²-1)

c)

8a(7a³-a)

d)

8a²(35a²-a)

129.

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

130.

Factoring reverses the process of what?

a)

Division

b)

Multiplication

c)

Addition

d)

Subtraction

131.

Which is another way of correctly expressing
(x - 3)(x - 3)?

a)

(x² - 3²)

b)

(x² - 3)

c)

(x + 3)(x - 3)

d)

(x - 3)²

132.

What is the GCF of the trinomial?
3x²- 9x -120

a)

3

b)

2

c)

6

d)

9

133.

Is this a perfect square trinomial?
x² + 14x + 49

a)

Yes

b)

No

134.

Is this a perfect square trinomial?
x² + 16x + 64

a)

Yes

b)

No

135.

Is this a perfect square trinomial?
x² + 18x + 9

a)

Yes

b)

No

136.

Is this a perfect square trinomial?
x² + 10x + 100

a)

Yes

b)

No

137.

Factor: x² + 24x + 144

a)

(x + 12)²

b)

(x + 9)²

c)

(x + 15)²

d)

(x + 13)²

138.

Factor: x² - 4x + 4

a)

(x + 2)²

b)

(x - 2)²

c)

(x + 4)²

d)

(x - 4)²

139.

Factor: x² - 30x + 225

a)

(x + 15)²

b)

(x - 15)²

c)

(x + 25)²

d)

(x - 25)²

140.

Factor:
n²+ 10n + 25

a)

(n + 5)(n - 5)

b)

(n + 25)(n + 1)

c)

(n - 5)²

d)

(n + 5)²

141.

Factor

x² + 18x + 81

a)

(x + 9)(x – 9)

b)

(x + 18)²

c)

(x + 9)²

d)

(x + 6)²

142.

Which of the following is a perfect square trinomial?

a)

x² – 4x – 4

b)

x² – 6x – 9

c)

x² + 6x – 9

d)

x² – 4x + 4

143.

Which of the following is a perfect square trinomial?

a)

x² + 14x – 49

b)

x² + 20x + 100

c)

x² – 8x + 4

d)

x² – 5x + 6

144.

Identify a perfect square.

a)

3

b)

16

c)

24

d)

12

145.

Idtify a perfect square.

a)

x

b)

x³

c)

x²

d)

2x

146.

Factor using GCF or monomial factoring:

2n²-8n³

a)

2n²(n-4n²)

b)

2n²(1-4n)

c)

2n³(10-8n²)

d)

3n(1-4n)

147.

Factor out the GCF:
10x³ - 15x

a)

x(10x² - 15)

b)

5x(2x² - 3)

c)

5(2x³ - 3x)

d)

5x²(10x - 3)

148.

Which is a common factor of 12x and 27?

a)

x

b)

12

c)

3

d)

9

149.

Factor using GCF or monomial factoring:

x² - 5x

a)

1(x - 5)

b)

x(x - 5x)

c)

x(x - 5)

d)

x²(1 - 5)

150.

Factor using GCF or monomial factoring:

w³ + 3w

a)

3w(1)

b)

w(w² + 3)

c)

w³(w + 3)

151.

1.4.E1

Factor: $x^6-y^6$

a)

$\left(x-y\right)\left(x+y\right)$

b)

$\left(x^2+xy+y^2\right)\left(x^2-xy+y^2\right)$

c)

$\left(x^2-y^2\right)\left(x^2+y^2\right)$

d)

$\left(x^2+xy+y^2\right)\left(x^2+xy+y^2\right)$

e)

$\left(x^2-xy+y^2\right)\left(x^2-xy+y^2\right)$

152.

1.4.E2

Factor: $a^6+b^6$ and select its factors

a)

$\left(a^2+b^2\right)$

b)

$\left(a^4-a^2b^2+b^4\right)$

c)

$\left(a^5-a^2b^2+b^5\right)$

d)

$\left(b^4-a^2b^2+a^4\right)$

e)

$\left(a+b\right)$

153.

1.5.B

Which is the definition of similar binomials?

a)

Binomials having corresponding like terms

b)

Binomials having two terms

c)

Binomials that both have squared terms

d)

Binomials that feature the same operation (addition or subtraction)

154.

1.5.B2

Which is the form of a quadratic trinomial?

a)

$ax^2+bx+c$

b)

$ax^2+bx+c^2$

c)

$ax^{ }+bx+c^{ }$

d)

$a^2x^{ }+bx+c^{ }$

155.

1.5.B3

Which is not a guideline for factoring quadratic trinomials?

a)

Factor out common factors

b)

Determine the factors of the quadratic term

c)

List the possible factor pairs of the constant term

d)

Write the quadratic in factored form

e)

All are guidelines for factoring quadratic trinomials

156.

1.5.B4

Which is not a guideline for factoring quadratic trinomials?

a)

Factor out common factors

b)

Determine the factors of the binomial term

c)

List the possible factor pairs of the constant term

d)

Write the quadratic in factored form

e)

All are guidelines for factoring quadratic trinomials

157.

He's the most famous character in video game history, and the official mascot for Nintendo.

a)

Sonic the Hedgehog

b)

Crash Bandicoot

c)

Mario

d)

Master Chief

158.

In this very popular on-line game, the player controls a cell inside a map that represents a petri dish.

a)

Minecraft

b)

Pokemon Go!

c)

Moco Verde, Moco Azul

d)

Agar.io

159.

In this very popular on-line game, the player controls a cell inside a map that represents a petri dish.

a)

Minecraft

b)

Pokemon Go!

c)

Moco Verde, Moco Azul

d)

Agar.io

160.

This Princess of the Mushroom Kingdom started out as the love interest of Mario in the original Donkey Kong.

a)

Jill Valentine

b)

Lara Croft

c)

Chun-Li

d)

Peach

161.

This martial arts video, which had popular characters like Scorpion and Subzero, was criticized for it's use of graphic violence when it came out in 1992.

a)

Street Fighter

b)

Mortal Kombat

c)

Tekken

d)

Final Fantasy

162.

In this popular Xbox game, you play as Master Chief, who's part of an elite team of super-soldiers called Spartans.

a)

Halo

b)

Call of Duty

c)

Half-Life

d)

Picachu Goes Ganta'

163.

With its innovative motion controller, this popular game system had moms, dads, and even grandmothers, playing video games.

a)

Nintendo Wii

b)

Xbox 1

c)

PS Go

d)

Atari

164.

This was the last game system developed by SEGA.

a)

SEGA Saturn

b)

SEGA Genesis

c)

SEGA Dreamcast

d)

SEGA CD

165.

This popular female character is a world-renown explorer in the series Tomb Raider.

a)

Joanna Dark

b)

Lara Craft

c)

Chung-Li

d)

Faith

166.

In this early 1980's game you play as a yellow circle-shaped character that eats dots and ghosts.

a)

Space Invaders

b)

Defender

c)

Centipede

d)

Pac-man

167.

What is the best selling video game console of all time?

a)

Xbox 1

b)

PlayStation

c)

Nintendo 64

d)

PlayStation 2

168.

who is the creator of minecraft?

a)

Bill Gates

b)

Jens Bergensten

c)

Markus Persson

d)

Master chief (from HALO)

169.

how many Fallout games there are?

a)

6

b)

9

c)

7

d)

11

170.

how many Call Of Duty games there is?

a)

9

b)

11

c)

13

d)

26

171.

how many Call Of Duty games there is?

a)

9

b)

11

c)

13

d)

26

172.

In halo is the red team good or the blue team good.

a)

blue

b)

red

173.

How many units did the PS2 sell?

a)

155 Million

b)

275 Million

c)

140 Million

d)

980 Thousand

174.

Name the ghosts

a)

Clyde, Blinky, Inky, Pinky

b)

Pac, son , gooy, hoot

c)

Sock, shirt, shoe , pants

d)

Chicken!!!!!!!!!!!!!!!

175.

Name the charecter

a)

Link

b)

Zelda

c)

Mario

d)

Rob

176.

What is this character.

a)

Shy Fly

b)

Shy Boy

c)

Shy Guy

d)

Shy Gut

177.

Did Bowser have kids

a)

yes

b)

no

178.

What is the best selling video game console of all time?

a)

Xbox 1

b)

PlayStation

c)

Nintendo 64

d)

PlayStation 2

179.

He's the most famous character in video game history, and the official mascot for Nintendo.

a)

Sonic the Hedgehog

b)

Crash Bandicoot

c)

Mario

d)

Master Chief

180.

who are the co-creator of minecraft

a)

Jed/Notch

b)

Dalton/Peyton

c)

Nick/Bob

d)

NO ONE!!

181.

1.6.1

Factor: $x^3+x^2+2x+2$

a)

(x + 2)(x^2 - 1)

b)

(x + 2)(x^2 + 1)

c)

(x - 1)(x^2 + 3)

d)

(x + 1)(x^2 - 2)

e)

(x + 1)(x^2 + 2)

182.

1.6.2

Factor: $n^3+5n^2+5n+25$

a)

(n + 1)(n^2 + 25)

b)

(n + 2)(n^2 + 12)

c)

(n + 5)(n^2 + 1)

d)

(n + 5)(n^2 + 5)

e)

(n + 10)(n^2 - 5)

183.

1.6.3

Factor: $a^3-4a^2-11a+44$

a)

(a + 4)(a^2 - 11)

b)

(a - 4)(a^2 + 11)

c)

(a - 4)(a^2 - 11)

d)

(a - 2)(a^2 + 22)

e)

(a + 4)(a^2 + 11)

184.

1.6.4

Factor: $-x^3+2x^2-121x+242$

a)

(x - 2)(x^2 - 121)

b)

(x + 1)(-x^2 + 121)

c)

(x - 2)(-x^2 + 121)

d)

(x - 2)(-x^2 - 121)

e)

(x - 11)(-x^2 + 22)

185.

1.6.5

Factor: $-4+q^3+4q-q^2$

a)

(q - 1)(q^2 - 4)

b)

(q + 1)(q^2 - 4)

c)

(q - 1)(q^2 + 4)

d)

(q - 2)(q^2 + 2)

e)

(q + 2)(q^2 - 2)

186.

1.6.6

Factor: $3v^2+v^3+36+12v$

a)

(v + 6)(v^2 + 6)

b)

(v + 4)(v^2 + 9)

c)

(v + 1)(v^2 + 36)

d)

(v + 2)(v^2 + 18)

e)

(v + 3)(v^2 + 12)

187.

1.6.7

Factor: $2ar^2-14r^2+4ar-28r$

a)

(r - 2)(2r(a + 7))

b)

(r - 7)(2r(a + 2))

c)

(r + 4)(2r(a - 3))

d)

(r + 1)(2r(a - 5))

e)

(r + 2)(2r(a - 7))

188.

1.6.8

Factor: $-32b^3c+24b^2c+12bc-9c$

a)

$c\left(-8b+3\right)\left(4b-3\right)$

b)

$c\left(-8b^2+3\right)\left(4b+3\right)$

c)

$c\left(-8b^2+3\right)\left(4b-3\right)$

d)

$-c\left(-8b^2+3\right)\left(4b-3\right)$

e)

$c\left(8b^2+3\right)\left(4b-3\right)$

189.

1.6.9

Factor: $15a^2c-4ac-8ab+30a^2b$

a)

$a\left(2b+c\right)\left(15a-4\right)$

b)

$a\left(2b-c\right)\left(15a-4\right)$

c)

$-a\left(2b+c\right)\left(15a-4\right)$

d)

$a\left(2b+c\right)\left(15a+4\right)$

e)

$a^2\left(2b+c\right)\left(15a-4\right)$

190.

1.6.10

Factor: $56y+42x^2y+32xy+24x^3y$

a)

$2y\left(3x^2-4\right)\left(4x+7\right)$

b)

$2y\left(3x^2+4\right)\left(4x-7\right)$

c)

$-2y\left(3x^2+4\right)\left(4x+7\right)$

d)

$2y\left(3x^2+4\right)\left(4x+7\right)$

e)

$2y\left(3x^2-4\right)\left(4x-7\right)$

Core Alg 2: Factoring Review 1.4, 1.5, 1.6

Total questions: 190

Worksheet time: 23hrs 4mins

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