Free Printable Recovery Factoring GCF/Grouping

1.

Factor:

2n²- 8n³

a)

2n²(n - 4n²)

b)

2n²(1 - 4n)

c)

2n³(10 - 8n²)

d)

3n(1 - 4n)

2.

39y⁵ + 12y⁴- 3y³

a)

3y(13y⁴ + 4y³ - y²)

b)

3y³(13y² + 4y - 1)

c)

y³(39y² + 12y - 3)

3.

Factor:

80x⁵- 70x²- 60x⁷

a)

2x²(80x³- 70 - 60x⁶)

b)

10x²(80x⁴- 70x - 60x⁶)

c)

10x²(8x³- 7 - 6x⁵)

d)

3x²(80x³- 40 - 60x⁵)

4.

Factor completely

4a³b⁵ - 18a²b³ + 8a³b³

a)

4a²b³ (ab² - 4 + 2a)

b)

2a²b³ (2ab² - 9 + 4a)

c)

2a²b³ (2ab - 9ab + 4)

d)

a²b (4ab - 18a²b³ + 8ab²)

5.

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)

6.

Factor by grouping:
$x^3-4x^2-4x+16$

a)

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

b)

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

c)

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

d)

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

7.

What is the factored form of $5n^3-10n^2+3n-6$ ?

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)

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

8.

If I were to factor $6n^3+3n^2+8n+4$ by grouping, my answer would look like $\left(3n^2+4\right)$ times what other binomial?

(a)

9.

Which of the following would be part of the factored form of $x^3-3x^2+2x-6$ ?

a)

$\left(x-3\right)$

b)

$\left(x+3\right)$

c)

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

d)

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

10.

Is $\left(5x-4\right)$ a factor of $5x^3-4x^2-25x+20$ ?

a)

Yes, it is a factor.

b)

No, it is not a factor.

Recovery Factoring GCF/Grouping

Total questions: 10

Worksheet time: 10mins

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