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Solving by Factoring (a>1)

Total questions: 10

Worksheet time: 33mins

Name
Class
Date
1.

3x2+9x-30=0

a)

x= 2, x=-5

b)

x= 5, x=-2

c)

x= -5, x=-2

d)

x= 5, x=2

2.

Solve using the Zero-Product Property.

7x(x − 6) = 0

a)

x =7 and x = −6

b)

x = 0 and x = 6

c)

x = 0 and x = −6

d)

x = 7 and x = 6

3.

Solve using the Zero-Product Property

(x −11)(5x + 1) = 0

a)

x = 11 or x = 15-\frac{1}{5}

b)

x = −11 or x = 15-\frac{1}{5}

c)

x = 11 or x = 15\frac{1}{5}

d)

x = −11 or x = 15\frac{1}{5}

4.

Factor and Solve:

m2 − 100 = 0

a)

m = 50 , m = −50

b)

m = 10

c)

m = 10, m = −10

d)

m = −10

5.

Solve by factoring:

6x2 - x - 2 = 0

a)

x = -2/3, x = 1/2

b)

x = 2/3, x = -1/2

c)

x = -2/3, x = -1/2

d)

x = -4, x = 3

6.
Solve by factoring: 2x2 - 5x - 12 = 0
a)
x = -4 and x = -6
b)
x = 4 and x = -3/2
c)
x = 4 and x = 6
d)
x = -4 and x = 3/2
7.

Solve by factoring:

3x² + 5x = 12

a)

x = -4/3, x = 3

b)

x = 4/3, x = -3

c)

x = -1, x = 4

d)

x = 1, x = -4

8.
What are the factors of 3x2-17x+10
a)
(x-5)(3x-2)
b)
(x+5)(3x+2)
c)
(3x-5)(x-2)
d)
(x+5)(3x-2)
9.
Find the factors of 4x2-16x-9
a)
(2x-9)(2x+1)
b)
(2x+9)(2x-1)
c)
(4x-1)(x+9)
d)
(x+1)(4x-9)
10.
Factor
9x2-6x-8
a)
(3x+2)(3x-4)
b)
(3x+2)(3x+4)
c)
(3x-2)(3x-4)
d)
(x-1)(9x+8)