Free Printable 4.F HW part 1 and 2

1.

Factor:

2n²- 8n³

a)

2n²(n - 4n²)

b)

2n²(1 - 4n²)

c)

2n³(10 - 8n²)

d)

3n(1 - 4n)

2.

Factor:

2n³+ 16n + 12

a)

2n(n³+ 24n + 6)

b)

2(n³+ 8n + 6)

c)

2n(n³+ 8n + 6)

d)

3(n³+ 8n + 6)

3.

Factor:

10a⁴+ 16a + 10a²

a)

2a(5a³+ 8 + 5a)

b)

2a⁴(5a + 8a²+ 5a³)

c)

2a⁴(10 + 16a + 40a²)

d)

3a³(5 + 8a + a²)

4.

39y⁵ + 12y⁴- 3y³

a)

3y(13y⁴ + 4y³ - y²)

b)

3y³(13y² + 4y - 1)

c)

y³(39y² + 12y - 3)

5.

Factor:

80x⁵- 70x²- 60x⁷

a)

2x²(80x³- 70 - 60x⁶)

b)

10x²(80x⁴- 70x - 60x⁶)

c)

10x²(8x³- 7 - 6x⁵)

d)

3x²(80x³- 40 - 60x⁵)

6.

-6y + 36

a)

-6 (y -6)

b)

6 (y + 6)

c)

-6 (1)

d)

cannot be factored

7.

Factor completely

21x⁷y⁶ + 30x⁵y⁸ - 18x⁵y⁶

a)

3xy (7x⁴y² + 10x²y⁶ - 6x)

b)

3x⁵y⁶ (7y² + 10 x² - 6)

c)

3x⁵y⁶ (7x²+ 10y² - 6)

d)

3x⁷y⁸ (7y² + 10x² - 6x²y²)

8.

Which is an example of difference of two perfect squares?

a)

( x³ - 4)

b)

( x² - 3)

c)

( x² + 4)

d)

( x² - 4)

9.

a)

( 2X + 6 ) (2X - 6 )

b)

( 2X - 6 ) ( 2X - 6 )

c)

( 2X - 9 ) ( 2X + 4 )

d)

( 2X + 6 ) ( 2X + 6 )

10.

Which of these can factor using difference of two squares?

a)

144x² - 49y²

b)

x² + 4x - 12

c)

100x² + 20x + 1

d)

14x - 16

11.

Which one is false about the difference of two squares?

a)

We can factor because there is addition sign.

b)

We can factor because there is a perfect squared number (Example: x², 25, 49)

c)

Formula: a² - b² = (a + b) (a - b)

d)

We can factor because there is minus sign.

12.

Factor completely.

121x² - 49

a)

( 11x - 7 ) ²

b)

( 11x - 7 ) ( 11x - 7 )

c)

( 11x + 7 ) ( 11x - 7 )

d)

( 12x + 7 ) ( 12x - 7 )

13.

9x²- 49y⁶

a)

( 3x + 7y³) (3x + 7y³)

b)

( 3x - 7y³) (3x + 7y³)

c)

( 3x - 7y³) (3x - 7y³)

d)

Prime

14.

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

a)

Yes

b)

No

15.

Factor: x² + 24x + 144

a)

(x + 12)²

b)

(x + 9)²

c)

(x + 15)²

d)

(x + 13)²

16.

Factor: x² - 30x + 225

a)

(x + 15)²

b)

(x - 15)²

c)

(x + 25)²

d)

(x - 25)²

17.

Factor:
n²+ 10n + 25

a)

(n + 5)(n - 5)

b)

(n + 25)(n + 1)

c)

(n - 5)²

d)

(n + 5)²

18.

Factor

x² + 18x + 81

a)

(x + 9)(x – 9)

b)

(x + 18)²

c)

(x + 9)²

d)

(x + 6)²

19.

Factor by grouping:
4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

20.

20x³-25x²+4x-5

a)

(5x²-5)(4x+1)

b)

5(x²-1)(4x+5)

c)

(5x²+1)(4x-5)

d)

(5x²+1)(4x-1)

21.

What is the factored form of x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

22.

Factor p³- 3p² - 16p + 48

a)

p² ( p - 3) (p - 3)

b)

(p² - 16) (p - 3)

c)

(p + 4) (p - 4) (p - 3)

23.

30x³+15x²-18x-9

a)

(5x²-3)(6x+1)

b)

(5x²-3)(6x+3)

c)

3(5x²+3)(2x-1)

d)

3(5x²-3)(2x+1)

24.

Factor

k^2+7k+10

.

a)

$(k+2)(k-5)$

b)

$(k+2)(k+5)$

c)

$(k+10)(k+4)$

d)

$(k-2)(k-5)$

25.

To factor

x^2+8x+15

, find two factors of 15 whose sum is _____.

a)

1

b)

2

c)

8

d)

15

26.

Factor $k^2-2k-24$

a)

$(k-4)(k+6)$

b)

$(k+4)(k+6)$

c)

$(k+6)(k-1)$

d)

$(k+4)(k-6)$

27.

Factor $x^2+9x-36$

a)

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

b)

$(x+9)(x-4)$

c)

$(x-9)(x-4)$

d)

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

28.

Factor:
2m² + 3m - 9

a)

2(m + 3)(m - 3)

b)

(2m - 3)²

c)

(m + 3)(2m - 3)

d)

(2m + 3)(m - 3)

29.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

30.

Identify "b" in the trinomial 3x+5x²-10

a)

3

b)

5

c)

-10

d)

10

31.

Factor completely:
3x² + 5x - 12

a)

(3x + 4)(x-3)

b)

(3x - 4)(x + 3)

c)

(3x + 3)(x -4)

d)

(3x - 3)(x + 4)

32.

Factor completely:
2x² + 7x + 6

a)

(2x - 3) (x - 2)

b)

(2x + 3) (x + 2)

c)

(x + 3) (2x + 2)

d)

prime

33.

Factor Completely: 3n² - 15n + 18

a)

(n - 2)(n - 3)

b)

3(n + 2)(n + 3)

c)

(3n - 9)(n - 2)

d)

3(n - 3)(n - 2)

34.

Factor Completely: 15t² - 27t - 6

a)

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

b)

(3t - 6)(5t + 1)

c)

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

d)

(15t + 6)(1t - 6)

35.

Factor:
4h² - 17h + 4

a)

(2h - 2)²

b)

4(h + 4)(h + 1)

c)

(2h - 2)(2h + 2)

d)

(h - 4)(4h - 1)

36.

Factor completely:
3x² + 18x +15
Hint: Factor GCF first.

a)

3(x² + 6x + 5)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

Prime

4.F HW part 1 and 2

Total questions: 36

Worksheet time: 6hrs 6mins

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