Free Printable Factoring Practice--GCF, Trinomials, Dif 2 Squares

1.

What is the greatest common factor of 42xy² and 28x³y?

a)

84x³y²

b)

14y

c)

14xy

d)

14xy²

2.

GCF of 11ab + 32ab

a)

11

b)

11ab

c)

ab

d)

2a

3.

Identify all the polynomials that could be factored using difference of 2 squares.

a)

$4x^2-25$

b)

$16x^5-8$

c)

$x^{10}-64$

d)

$x^6-1$

e)

$4x^4+49$

4.

What is the GCF?

16x⁵+ 12x⁴ - x³

a)

x⁵

b)

12x

c)

6x³

d)

x³

5.

Factor Completely
16x²-32x

a)

8x(2x-4)

b)

16(x²-2x)

c)

16x(x-2)

d)

Prime

6.

Factor Completely

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

7.

Do GCF first then factor the polynomial: $5c^2+30c-35$

a)

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

b)

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

c)

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

d)

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

8.

Do GCF first then factor the polynomial: $4f^2-12f-16$

a)

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

b)

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

c)

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

d)

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

9.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

10.

4a² - 25

a)

(2a + 5) (2a - 5)

b)

(2a - 5) (2a - 5)

c)

(x + 5) (x - 5)

d)

Can't factor using Diff. of Squares

11.

Factor the trinomial. *Check for GCF.
$a^3+8a^2-84a$

a)

$a\left(a+14\right)\left(a-6\right)$

b)

$a\left(a+14\right)\left(a+6\right)$

c)

$a\left(a-14\right)\left(a+6\right)$

d)

Prime

12.

x⁴- 16

a)

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

b)

( x² - 4) ( x² + 4)

c)

( x² - 8) ( x² + 8)

d)

( x - 4) ( x + 4)

13.

Factor the trinomial.

$5x^2-2x-3$

a)

(5x - 3)(x + 1)

b)

(5x + 3)(x - 1)

c)

(5x + 1)(x - 3)

d)

(5x - 1)(x + 3)

14.

$12x^5-75x^3$

Factor completely.

a)

$3x\left(4x^4-25x^2\right)$

b)

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

c)

$3x^3\left(4x^2-25\right)$

d)

$x^3\left(12x^2-75\right)$

15.

Which of the binomials below is a factor the the trinomial?

$2x^2+18x+40$

a)

(x + 2)

b)

(x + 8)

c)

(x + 10)

d)

(x + 5)

Factoring Practice--GCF, Trinomials, Dif 2 Squares

Total questions: 15

Worksheet time: 45mins

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