Free Printable Factoring Quadratics (NTI20)

1.

What are the two solutions to the following equation: $x^2+13x+30=0$ ?

Separate your answers with a comma. Type only the numbers in your answer, NOT x =.

(a)

2.

Solve by factoring.

x² + 15x + 44 = 0

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

3.

Solve by factoring. (what do they have in common)

n² - 2n = 0

a)

n = 2 and 0

b)

n = -2 and 0

c)

n = 2

d)

n = 0

4.

Find the zeros of the following quadratic equation:

x²+2x-15=0 ?

Separate your two answers with a comma. Type only the number in your answer, NOT x = .

(a)

5.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Unfactorable

6.

Fully Factor the Following
25x²-81

a)

(5x-9)²

b)

(5x+9)(5x-9)

c)

25(x-9)²

d)

(9x+5)(9x-5)

7.

Factor the following: $25x^2-49$

a)

$\left(5x-7\right)^2$

b)

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

c)

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

d)

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

8.

Find the zeros of the following equation: $r^2-121=0$

Separate your two answers with a comma. Type only the number in your answer, NOT x=.

(a)

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.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

11.

Factor:

3x² + 18x +15

a)

(3x + 5)(x + 3)

b)

(x + 5)(x + 1)

c)

3(x + 5)(x + 1)

d)

3(x + 6)(x + 1)

12.

Factor:

p² - 14p

a)

p(1 - 14)

b)

2p(p - 7)

c)

(p - 7)(p + 2)

d)

p(p - 14)

13.

Find the solutions to the following equation: $3m^2+6m-72=0$

a)

$-6,4$

b)

$4,6$

c)

$6,-4$

d)

$-4,-6$

Factoring Quadratics (NTI20)

Total questions: 13

Worksheet time: 3hrs 51mins

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