Free Printable Factoring by GCF & Grouping

1.

What is the GCF? 5x²+ 20x

a)

5

b)

x

c)

5x

d)

20x

2.

Find GCF of 22x³+ 11x²

a)

11x

b)

11x²

c)

22x

d)

22x²

3.

FACTOR: 7w³- 14w

a)

7w(w²- 2)

b)

7w(w²- 2w)

c)

7w(w - 2)

d)

7w(w + 2)

4.

Factor:
24c⁵ - 12c³

a)

6(4c⁵ - 2c³)

b)

12c³(2c²)

c)

12c³(2c² - 1)

d)

12c³(2c² - 0)

5.

Factor: 4n⁶+ 16n⁴- 8n

a)

4n(n⁴+ 4n³- 2)

b)

4n(n⁵+ 4n³- 2)

c)

12n(n⁵+ 4n⁴- 2)

d)

16n(n⁵+ 4n³- 2)

6.

Factor: 80x⁵- 70x²- 60x⁷

a)

2x²(80x³- 70 - 60x⁶)

b)

10x²(80x⁴- 70x - 60x⁶)

c)

10x²(8x³- 7 - 6x⁶)

d)

3x²(80x³- 40 - 60x⁵)

7.

Factor by grouping:
$4p^3+8p^2+3p+6$

a)

$\left(2p^2+3\right)\left(p+2\right)$

b)

$\left(2p^2+6\right)\left(p+4\right)$

c)

$\left(4p^2+3\right)\left(p+2\right)$

d)

$\left(4p^2+8p\right)\left(3p+6\right)$

8.

Factor by grouping:
$5n^3-10n^2+3n-6$

a)

$\left(5n^2+3\right)\left(n-2\right)$

b)

$\left(5n^2-3\right)\left(n-2\right)$

c)

$\left(5n^3+3\right)\left(n-2\right)$

d)

$10n\left(n^2-6\right)$

9.

Factor by Grouping

2x³- 8x²- x + 4

a)

(2x²-1)(x-4)

b)

2(x²-1)(x+4)

c)

(x²-1)(2x-4)

d)

(2x²+1)(x-4)

10.

Factor by grouping:
$x^3+7x^2-2x-14$

a)

$\left(x^2-2\right)\left(x-7\right)$

b)

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

c)

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

d)

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

Factoring by GCF & Grouping

Total questions: 10

Worksheet time: 2hrs 30mins

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