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Factoring Quiz

Total questions: 65

Worksheet time: 5hrs 25mins

Name
Class
Date
1.
Factor
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
2.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
3.
Factor
k2 - 2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
4.
Factor
3a2 + 4a + 1
a)
(7a-10)(a-8)
b)
Not factorable
c)
(3a+1)(a+1)
d)
(3a-1)(a-1)
5.
Factor:
 2m² + 3m - 9
a)
2(m + 3)(m - 3)
b)
(2m - 3)²
c)
(m + 3)(2m - 3)
d)
(2m + 3)(m - 3)
6.
Factor:
 b2 + 8b + 7
a)
(b + 4)(b + 3)
b)
(b + 6)(b + 1)
c)
(b + 7)(b +1)
d)
prime
7.
Factor:
x2 + 7x - 30
a)
(x + 10)(x - 7)
b)
(x - 10)(x + 3)
c)
(x + 10)(x + 3)
d)
(x + 10)(x - 3)
8.
Factor
n2 + 5n - 6
a)
(n - 2)(n - 3)
b)
(n - 1)(n + 6)
c)
(n + 1)(n - 6)
d)
(n + 2)(n - 3)
9.
Factor completely.
3x2 + 10x - 8
a)
(3x + 2)(x + 4)
b)
(7x + 5)(x + 2)
c)
(3x - 2)(x + 4)
d)
(7x - 3)(x - 4)
10.
Factor
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
11.
Factor completely.
5x2 - 7x + 2
a)
5(x - 2)(x + 1)
b)
(5x - 2)(x + 1)
c)
(7x - 1)(x - 4)
d)
(5x - 2)(x - 1)
12.
Factor
3x² + 17x + 10
a)
(3x-2)(x-5)
b)
(3x+2)(x+5)
c)
(3x-5)(x-2)
d)
(3x+5)(x+2)
13.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
14.
Factor
3x² + 17x + 10
a)
(3x-2)(x-5)
b)
(3x+2)(x+5)
c)
(3x-5)(x-2)
d)
(3x+5)(x+2)
15.

Factor the trinomial.

a)

(p+1)(3p+5)

b)

(p-1)(3p-5)

c)

(p+1)(3p-5)

d)

(p-1)(3p+5)

16.

Factor the trinomial.

a)

(n+3)(2n-3)

b)

(n-3)(2n-3)

c)

(n+3)(2n+3)

d)

(n-3)(2n+3)

17.

Factor the trinomial.

a)

(3n+2)(n-2)

b)

(3n-2)(n-2)

c)

(3n-2)(n+2)

d)

(3n+2)(n+2)

18.

Factor the trinomial.

a)

(2v-1)(v+5)

b)

(2v+1)(v-5)

c)

(2v-1)(v-5)

d)

(2v+1)(v+5)

19.
Factor completely.
5x2 - 13x + 6
a)
(x - 3)(5x - 2)
b)
(5x - 3)(x - 2)
c)
5(x - 3)(x + 2)
d)
Not factorable
20.
Factor:
6k2 - 19k - 7
a)
(k + 7)(6k - 1)
b)
(2k + 1)(3k - 7)
c)

(3k - 1)(2k - 7)

d)

(3k + 1)(2k - 7)

21.

Factor the polynomial:  2a2+10a+82a^2+10a+8  

a)

(a+5)(a+2)\left(a+5\right)\left(a+2\right)  

b)

2(a+4)(a+1)2\left(a+4\right)\left(a+1\right)  

c)

2(x+2)(x+2)2\left(x+2\right)\left(x+2\right)  

d)

(x+4)(x+2)\left(x+4\right)\left(x+2\right)  

22.

Factor the polynomial:  4b2−24b+204b^2-24b+20  

a)

4(b−5)(b−1)4\left(b-5\right)\left(b-1\right)  

b)

4(b−4)(b+5)4\left(b-4\right)\left(b+5\right)  

c)

2(b−5)(b+4)2\left(b-5\right)\left(b+4\right)  

d)

4(b−6)(b+4)4\left(b-6\right)\left(b+4\right)  

23.

Factor the polynomial:  5c2+30c−355c^2+30c-35  

a)

5(c+7)(c−1)5\left(c+7\right)\left(c-1\right)  

b)

5(c−7)(c+1)5\left(c-7\right)\left(c+1\right)  

c)

5(c−5)(c+7)5\left(c-5\right)\left(c+7\right)  

d)

5(c−6)(b+5)5\left(c-6\right)\left(b+5\right)  

24.

Factor the polynomial:  2d2−8d−242d^2-8d-24  

a)

2(d−8)(d+3)2\left(d-8\right)\left(d+3\right)  

b)

2(d−6)(d+4)2\left(d-6\right)\left(d+4\right)  

c)

2(d−6)(d+2)2\left(d-6\right)\left(d+2\right)  

d)

2(d−4)(d+3)2\left(d-4\right)\left(d+3\right)  

25.

Factor the polynomial:  3e2−15e+123e^2-15e+12  

a)

3(e+4)(e+3)3\left(e+4\right)\left(e+3\right)  

b)

3(e+5)(e−3)3\left(e+5\right)\left(e-3\right)  

c)

3(e−4)(e−1)3\left(e-4\right)\left(e-1\right)  

d)

3(e−2)(e−2)3\left(e-2\right)\left(e-2\right)  

26.

Factor the polynomial:  4f2−12f−164f^2-12f-16  

a)

2(f+1)(f−16)2\left(f+1\right)\left(f-16\right)  

b)

2(f−4)(f+1)2\left(f-4\right)\left(f+1\right)  

c)

4(f+1)(f−16)4\left(f+1\right)\left(f-16\right)  

d)

4(f−4)(f+1)4\left(f-4\right)\left(f+1\right)  

27.

Factor the polynomial:  6g2−6g−126g^2-6g-12  

a)

6(g−2)(g+1)6\left(g-2\right)\left(g+1\right)  

b)

6(g+2)(g−1)6\left(g+2\right)\left(g-1\right)  

c)

12(g+2)(g−2)12\left(g+2\right)\left(g-2\right)  

d)

3(g−2)(g+6)3\left(g-2\right)\left(g+6\right)  

28.

Factor the polynomial:  25h2+125h+10025h^2+125h+100  

a)

25(h+4)(h+1)25\left(h+4\right)\left(h+1\right)  

b)

25(h+2)(h+2)25\left(h+2\right)\left(h+2\right)  

c)

25(h+20)(h+5)25\left(h+20\right)\left(h+5\right)  

d)

25(h+10)(h+10)25\left(h+10\right)\left(h+10\right)  

29.

Factor the polynomial:  12j2−72j+10812j^2-72j+108  

a)

12(j−3)(j+3)12\left(j-3\right)\left(j+3\right)  

b)

12(j−3)(j−3)12\left(j-3\right)\left(j-3\right)  

c)

12(j−9)(j+1)12\left(j-9\right)\left(j+1\right)  

d)

6(j−3)(i+4)6\left(j-3\right)\left(i+4\right)  

30.

Factor: x2−121x^2-121  

a)

(x−11)2\left(x-11\right)^2  

b)

(x+11)(x−11)\left(x+11\right)\left(x-11\right)  

c)

(x−60.5)(x+60.5)\left(x-60.5\right)\left(x+60.5\right)  

d)

(x+11)2\left(x+11\right)^2  

31.

64x2+112x+4964x^2+112x+49  Factor:

a)

(8x−7)(8x+7)\left(8x-7\right)\left(8x+7\right)  

b)

(8x−7)2\left(8x-7\right)^2  

c)

(16x+7)2\left(16x+7\right)^2  

d)

(8x+7)2\left(8x+7\right)^2  

32.

a2−10a+25a^2-10a+25  Factor:

a)

(a−5)(a+5)\left(a-5\right)\left(a+5\right)  

b)

(a+5)2\left(a+5\right)^2  

c)

(a−5)2\left(a-5\right)^2  

d)

(a−10)2\left(a-10\right)^2  

33.

k2−225k^2-225  Factor:

a)

(k +15)(k −15)\left(k\ +15\right)\left(k\ -15\right)  

b)

(k−15)2\left(k-15\right)^2  

c)

(k −25)2\left(k\ -25\right)^2  

d)

(k +10)(k −10)\left(k\ +10\right)\left(k\ -10\right)  

34.

16x2−8116x^2-81  Factor:

a)

(4x−9)2\left(4x-9\right)^2  

b)

(2x−9)2\left(2x-9\right)^2  

c)

(4x + 9)2\left(4x\ +\ 9\right)^2  

d)

(4x+9)(4x−9)\left(4x+9\right)\left(4x-9\right)  

35.

4x2+20x+254x^2+20x+25  Factor:

a)

(2x+5)(2x−5)\left(2x+5\right)\left(2x-5\right)  

b)

(2x+5)2\left(2x+5\right)^2  

c)

(4x+5)2\left(4x+5\right)^2  

d)

(2x−5)2\left(2x-5\right)^2  

36.

49x2−14449x^2-144  Factor:

a)

(7x−12)2\left(7x-12\right)^2  

b)

(7x+12)2\left(7x+12\right)^2  

c)

(7x−12)(7x+12)\left(7x-12\right)\left(7x+12\right)  

d)

(4x+11)2\left(4x+11\right)^2  

37.

Factor: x2−18x+81x^2-18x+81  

a)

(x−9)2\left(x-9\right)^2  

b)

(x−9)(x+9)\left(x-9\right)\left(x+9\right)  

c)

(x+9)2\left(x+9\right)^2  

d)

(x+18)(x−18)\left(x+18\right)\left(x-18\right)  

38.

Factor: 16y2−24y+916y^2-24y+9  

a)

(4y+3)(4y−3)\left(4y+3\right)\left(4y-3\right)  

b)

(8y + 3)2\left(8y\ +\ 3\right)^2  

c)

(8y−3)2\left(8y-3\right)^2  

d)

(4y−3)2\left(4y-3\right)^2  

39.

Factor: 49x2−28x+449x^2-28x+4  

a)

(7x+2)(7x−2)\left(7x+2\right)\left(7x-2\right)  

b)

(7x+2)2\left(7x+2\right)^2  

c)

(7x−2)2\left(7x-2\right)^2  

d)

(3.5x−1)2\left(3.5x-1\right)^2  

40.

Factor.
7x3+14x2+4x+87x^3+14x^2+4x+8  

a)

(x2−x)(4x+8)\left(x^2-x\right)\left(4x+8\right)  

b)

(7x+14)(x+2)\left(7x+14\right)\left(x+2\right)  

c)

(7x2+4)(x+2)\left(7x^2+4\right)\left(x+2\right)  

d)

(7x2+4)(4x+8)\left(7x^2+4\right)\left(4x+8\right)  

41.

Factor.
12x3+16x2+21k+2812x^3+16x^2+21k+28  

a)

(4x3+4x2)(7x+7)\left(4x^3+4x^2\right)\left(7x+7\right)  

b)

(x3+x2)(x+1)\left(x^3+x^2\right)\left(x+1\right)  

c)

(4x3+7x)(3x2+4)\left(4x^3+7x\right)\left(3x^2+4\right)  

d)

(4x2+7)(3x+4)\left(4x^2+7\right)\left(3x+4\right)  

42.

Factor.
7x3+42x2−6x−367x^3+42x^2-6x-36  

a)

(x2−6)(x2+6)\left(x^2-6\right)\left(x^2+6\right)  

b)

(7x2−6)(x+6)\left(7x^2-6\right)\left(x+6\right)  

c)

(7x3+42x2)(−6x−6)\left(7x^3+42x^2\right)\left(-6x-6\right)  

d)

(x2)(−6)\left(x^2\right)\left(-6\right)  

43.

Factor.
8x3−28x2+14x−498x^3-28x^2+14x-49  

a)

(4x2+7)(2x−7)\left(4x^2+7\right)\left(2x-7\right)  

b)

(2x2+7)(2x2+7)\left(2x^2+7\right)\left(2x^2+7\right)  

c)

(4x2−7x)(7x+7)\left(4x^2-7x\right)\left(7x+7\right)  

d)

  (8x2+8x)(7x−7)\left(8x^2+8x\right)\left(7x-7\right)  

44.

Factor.
x3−x2−7x+7x^3-x^2-7x+7  

a)

(x2)(−7)\left(x^2\right)\left(-7\right)  

b)

(x3−x2)(−7x+7)\left(x^3-x^2\right)\left(-7x+7\right)  

c)

(−x3+x2)(7x−7)\left(-x^3+x^2\right)\left(7x-7\right)  

d)

(x2−7)(x−1)\left(x^2-7\right)\left(x-1\right)  

45.

Factor.
4x3−8x2−5x+104x^3-8x^2-5x+10  

a)

(4x2−5)(x−2)\left(4x^2-5\right)\left(x-2\right)  

b)

(4x3−8x2)(−5x+10)\left(4x^3-8x^2\right)\left(-5x+10\right)  

c)

(x2+4)(x−5)\left(x^2+4\right)\left(x-5\right)  

d)

(2x2−5)(−x+10)\left(2x^2-5\right)\left(-x+10\right)  

46.

Factor.
x2+3x+7x+21x^2+3x+7x+21  

a)

(x2+3x)(7x+21)\left(x^2+3x\right)\left(7x+21\right)  

b)

x(3x+7x+21)x\left(3x+7x+21\right)  

c)

(x+3)(x+7)\left(x+3\right)\left(x+7\right)  

d)

(x−3)(x−7)\left(x-3\right)\left(x-7\right)  

47.

Factor.
x2−4x−9x+36x^2-4x-9x+36  

a)

(x2−4x)(−9x+36)\left(x^2-4x\right)\left(-9x+36\right)  

b)

(x−4)(x−9)\left(x-4\right)\left(x-9\right)  

c)

x(x−4−9)+36x\left(x-4-9\right)+36  

d)

(x+4)(x+9)\left(x+4\right)\left(x+9\right)  

48.

Factor.
x2−8x+6x−48x^2-8x+6x-48  

a)

(x+6)(x−8)\left(x+6\right)\left(x-8\right)  

b)

(x2−6)(x2+8)\left(x^2-6\right)\left(x^2+8\right)  

c)

(x−2)(x+6)\left(x-2\right)\left(x+6\right)  

d)

(x2−8x)(6x−48)\left(x^2-8x\right)\left(6x-48\right)  

49.

Factor. (Hint: Look for GCF first.)
5x2+5x+20x+205x^2+5x+20x+20  

a)

(5x+20)(x+1)\left(5x+20\right)\left(x+1\right)  

b)

(x+1)(x+4)\left(x+1\right)\left(x+4\right)  

c)

(5x+1)(x+20)\left(5x+1\right)\left(x+20\right)  

d)

5(x+1)(x+4)5\left(x+1\right)\left(x+4\right)  

50.

Factor. (Hint: Make sure your answer is in simplest form.)
x2−5x−5x+25x^2-5x-5x+25  

a)

(x−5)2\left(x-5\right)^2  

b)

(x2+25)(x2+25)\left(x^2+25\right)\left(x^2+25\right)  

c)

(x−5)(x−5)\left(x-5\right)\left(x-5\right)  

d)

(x2−5)(x2−5)\left(x^2-5\right)\left(x^2-5\right)  

51.

Factor. (Hint: Is there a GCF to factor out? Is your answer in simplest form?)
5x2+30x+30x+1805x^2+30x+30x+180  

a)

5x(x+6)+30(x+6)5x\left(x+6\right)+30\left(x+6\right)  

b)

(5x+6)(5x+6)\left(5x+6\right)\left(5x+6\right)  

c)

5(x+6)25\left(x+6\right)^2  

d)

5(x+6)+5(x+6)5\left(x+6\right)+5\left(x+6\right)  

52.
Factor:   x3 + 1
a)
(x + 1)3
b)
(x+1)(x2 - x + 1)
c)
(x - 1) (x2 + x - 1)
d)
(x + 1)(x2 - 2x + 1)
53.
Factor: 8x3 - 1
a)
(2x - 1)(4x2 + 2x + 1)
b)
(2x + 1)(4x2 - 2x + 1)
c)
(2x - 1)(4x2 - 2x - 1)
d)
(2x + 1)(4x2 +2x + 1)
54.
Factor:  27x3 + 8
a)
(3x + 2)(9x2 - 6x + 4)
b)
(9x + 2)(3x2 + 18x + 4)
c)
(3x2+4)(9x + 2)
d)
(27x + 8)(x2 - 216x + 64)
55.
Complete the formula
a³-b³=
a)
(a-b)(a²+ab+b²)
b)
(a+b)(a²-ab+b²)
c)
(a-b)(a²-ab+b²)
d)
(a+b)(a²+ab+b²)
56.
Factor
27x³-64
a)
(3x-4)(9x²+12x+16)
b)
(3x-4)(9x²-12x+16)
c)
(3x+4)(9x²-12x+16)
d)
(3x+4)(9x²+12x+16)
57.
Level 2 Question 11
64-27a3
a)
(4-3a)(9a2+12a+16)
b)
(3a-4)(3a2+12a+16)
c)
(4-3a)(3a2+12a+16)
d)
(4-3a)3
58.
Fully Factor the Following
8x3-27
a)
(2x+3)(4x2-6x+9)
b)
(2x-3)(4x2+6x+9)
c)
(2x-3)(4x2+6x-9)
d)
(2x-3)(2x2+6x+9)
59.
WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF   27X3-343? 
a)
DIFFERENCE OF TWO CUBES
b)
DIFFERENCE OF TWO SQUARES 
c)
FACTORING BY GCF 
60.

Complete the formula

a³+b³=

a)

(a-b)(a²+ab+b²)

b)

(a+b)(a²-ab+b²)

c)

(a-b)(a²-ab+b²)

d)

(a+b)(a²+ab+b²)

61.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

62.
WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF   27a3-729? 
a)
FACTORING BY GCF 
b)
DIFFERENCE OF TWO SQUARES
c)
DIFFERENCE OF TWO CUBES 
d)
DIAMOND AND BOX METHOD 
63.
x3 - 1000
a)
(x + 10)(x2 - 10x + 100)
b)
(x - 10)(x2 + 10x + 100)
c)
(x - 1)(x2 + 1x + 1)
d)
(x - 5)(x2 + 5x + 25)
64.
64x3 + 1
a)
(4x - 3)(16x2 + 12x + 9)
b)
(3x - 1)(9x2 + 3x + 1)
c)
(2x - 1)(4x2 + 2x + 1)
d)
(4x + 1)(16x2 - 4x + 1)
65.

Identify if the expression can be factored as sum or difference of cubes:

3x3 + 24

a)

No

b)

Yes

c)

Yes, getting GCF first

d)

It is a sum of squares

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(GEO) 6.1 & 6.2 Review

quiz

Worksheet

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9th - 10th Grade

EOC Review

60 questions

EOC Review

quiz

Worksheet

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