Free Printable Factoring Quadratic Polynomials

1.

Factor the quadratic polynomial: x^2 + 3x - 10

a)

(x - 5)(x + 2)

b)

(x + 10)(x - 1)

c)

(x + 2)(x - 5)

d)

(x + 5)(x - 2)

2.

Factor the quadratic polynomial: x^2 + 4x - 21

a)

(x + 7)(x + 3)

b)

(x + 7)(x + 3)

c)

(x + 7)(x - 3)

d)

(x - 7)(x + 3)

3.

Factor the quadratic polynomial: x^2 - 5x - 14

a)

(x + 7)(x - 2)

b)

(x - 7)(x + 2)

c)

(x - 7)(x + 2)

d)

(x - 7)(x - 2)

4.

a)

(4b-5)²

b)

(4b+5)²

c)

(4b+5)(4b-5)

d)

(2b+5)(4b-5)

5.

a)

(4n+3)(4n-3)

b)

(16n+9)(16n-9)

c)

(4n-3)²

d)

(4n+3)²

6.

Factor.

x² + 24x + 144

a)

(x + 12)²

b)

(x - 12)²

c)

(x + 15)²

d)

(x + 13)²

7.

y²-9

a)

(y+3)(y-3)

b)

(y-3)(y-3)

c)

(y+3)(y+3)

d)

(y-3)²

8.

Factor the Polynomial:
121r² - 64t²

a)

(11r + 8t)(11r - 8t)

b)

(11r - 8t)(11r - 8t)

c)

(11r + 8t)(11r + 8t)

d)

prime

9.

To factor x^2-10x-24, which of the following factors of -24 must be chosen in the process?

a)

$-2, 12$

b)

$-6, -4$

c)

$2, -12$

d)

$-6, 4$

10.

Factor.

4x²- 64

a)

Prime

b)

( 2x - 32) (2 x + 32)

c)

( 2x - 8) (2 x - 8)

d)

( 2x - 8) (2 x + 8)

11.

Factor Completely: 2x² + x - 6

a)

(x + 2) (2x -3)

b)

(x - 6) (2x + 1)

c)

(x + 1) (2x - 6)

d)

(x - 2) (2x + 3)

12.

Factor Completely: 4x² - 20x + 25

a)

(4x - 25) (x -1)

b)

(2x + 5) (2x - 5)

c)

(2x - 5)²

d)

(4x - 5) (x - 5)

13.

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

14.

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

15.

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)

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

Factoring Quadratic Polynomials

Total questions: 15

Worksheet time: 15mins

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