Free Printable Factoring Polynomials

1.

What are the factors of
$x^2+5x+4$

a)

$\left(x+2\right)\left(x+3\right)$

b)

$\left(x-1\right)\left(x-4\right)$

c)

$\left(x-1\right)\left(x+5\right)$

d)

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

2.

What are the factors of
$2x^2+5x-12$

a)

$\left(x+4\right)\left(2x-3\right)$

b)

$\left(x-3\right)\left(x+8\right)$

c)

$\left(2x+1\right)\left(x-12\right)$

d)

$\left(2x+3\right)\left(x-8\right)$

3.

What are the factors of
$4m^2-25$

a)

$\left(4m-5\right)\left(4m+5\right)$

b)

$\left(2m-5\right)\left(2m+5\right)$

c)

$\left(2m-10\right)\left(2m-15\right)$

d)

$\left(4m-1\right)\left(m-24\right)$

4.

What are the factors of
$3p^2-7p-6$

a)

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

b)

$\left(p+2\right)\left(p-9\right)$

c)

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

d)

$\left(3p-9\right)\left(3p+2\right)$

5.

What are the factors of
$5b^2-11b+2$

a)

$\left(5b-1\right)\left(b-2\right)$

b)

$\left(b-1\right)\left(b-10\right)$

c)

$\left(b-2\right)\left(b-5\right)$

d)

$\left(5b-2\right)\left(b-5\right)$

6.

What are the factors of
$8g^2-18g-5$

a)

$\left(g+2\right)\left(g-20\right)$

b)

$\left(8g-1\right)\left(g+5\right)$

c)

$\left(2g+1\right)\left(4g-5\right)$

d)

$\left(4g+1\right)\left(2g-5\right)$

7.

What are the factors of
$2n^2+12n+16$

a)

$2\left(n+1\right)\left(n+8\right)$

b)

$\left(2n+2\right)\left(n+8\right)$

c)

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

d)

$\left(n+16\right)\left(2n+1\right)$

8.

What are the factors of
$49x^2-100$

a)

$\left(7x-10\right)\left(7x+10\right)$

b)

$\left(x-4\right)\left(x-25\right)$

c)

$\left(x+10\right)\left(x-10\right)$

d)

$\left(49x-10\right)\left(x+10\right)$

9.

The area of a rectangular painting is $2x^2+13x-7$ units. Which of the following could be the dimensions of the painting?
*Hint: Factor the trinomial*

a)

$\left(2x+1\right)$ units by $\left(2x+7\right)$ units

b)

$\left(x-1\right)$ units by $\left(x+14\right)$ units

c)

$\left(x+1\right)$ units by $\left(2x+7\right)$ units

d)

$\left(2x-1\right)$ units by $\left(x+7\right)$ units

10.

Which binomial is a factor of
$9x^2-25$

a)

$\left(x+5\right)$

b)

$\left(3x-25\right)$

c)

$\left(9x-5\right)$

d)

$\left(3x+5\right)$

11.

Which binomial is a factor of
$3k^2+16k-12$ ?

a)

$\left(3k-2\right)$

b)

$\left(k+18\right)$

c)

$\left(k-6\right)$

d)

$\left(3k-6\right)$

12.

Which expression is a factor of
$x^2-3x-28$

a)

$\left(x+7\right)$

b)

$\left(x-4\right)$

c)

$\left(x-7\right)$

d)

$\left(x-3\right)$

Factoring Polynomials

Total questions: 12

Worksheet time: 3hrs 0mins

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