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Worksheets

Data Factoring Quadratics

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

Factor:
x2 + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

2.

Factor x2 – 16.

a)

(x + 2)(x – 8)

b)

(x – 4)(x – 4)

c)

(x + 4)(x + 4)

d)

(x + 4)(x – 4)

3.

Factor completely.

121x2 - 49

a)

( 11x - 7 ) 2

b)

( 11x - 7 ) ( 11x - 7 )

c)

( 11x + 7 ) ( 11x - 7 )

d)

( 12x + 7 ) ( 12x - 7 )

4.

Solve by factoring.

x2 + 15x + 44 = 0

a)

{-8, 2}

b)

{-7, 5}

c)

{-11, -4}

d)

{-11}

5.

Solve by factoring.

b2 + 2b - 24 = 0 (hint: find the zeros) FACTOR!

a)

x = 6 or x = -4

b)

x = -6 or x = -4

c)

x = 6 or x = 4

d)

x = -6 or x = 4

6.

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

7.

Solve: b² = -35 + 12b RE-ARRANGE AND FACTOR

a)

b = 5 and 7

b)

b = -5 and -7

c)

b = -5 and 7

d)

b = 5 and -7

8.

Factor (hint...take out the greatest common factor first)
2c2 + 2c - 84

a)

(c-6)(2c+14)

b)

(c+7)(2c-12)

c)

(c-4)(2c+21)

d)

2(c+7)(c-6)

9.

What is the first step in solving 
(x + 2)(x - 3) = 0      ?

a)

Plug in zero for x

b)

Solve for x

c)

FOIL

d)

Set each binomial factor equal to zero

10.

Solve by factoring: x2 = 7x + 18

a)

-7 and -18

b)

9 and 2

c)

9 and -2

d)

2 and 7

11.

Factor:
x2 - 14x + 24

a)

(x - 8)(x - 3)

b)

(x - 12)(x - 2)

c)

(x - 6)(x - 4)

d)

(x - 24)(x - 1)

12.

Factor: 5n² - 6n - 27

a)

(5n + 3)(n-9)

b)

(5n - 3)(n + 9)

c)

(5n + 9)(n - 3)

d)

(5n - 9)(n + 3)

13.

Factor: 4x² - 20x + 25

a)

(4x - 25) (x -1)

b)

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

c)

(2x - 5)²

d)

(4x - 5) (x - 5)

14.

Factor x2 + 9x + 20

a)

(x + 2)(x + 10)

b)

(x + 3)(x + 4)

c)

(x + 4)(x + 5)

d)

(x + 4)(x + 6)

15.

Factor x2 + 12x + 20

a)

(x + 2)(x + 10)

b)

(x + 3)(x + 4)

c)

(x + 4)(x + 5)

d)

(x + 4)(x + 6)