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Factoring Quadratic Trinomials

Total questions: 10

Worksheet time: 9mins

Name
Class
Date
1.

Factor 

 k2+7k+10k^2+7k+10  .

a)

 (k+2)(k−5)(k+2)(k-5)  

b)

 (k+2)(k+5)(k+2)(k+5)  

c)

 (k+10)(k+4)(k+10)(k+4)  

d)

 (k−2)(k−5)(k-2)(k-5)  

2.

To factor

 x2+8x+15x^2+8x+15  , find two factors of 15 whose sum is _____.

a)

1

b)

2

c)

8

d)

15

3.

To factor

 x2−10x−24x^2-10x-24 , which of the following factors of −24-24  must be chosen in the process?

a)

 −2, 12-2,\ 12  

b)

 −6, −4-6,\ -4  

c)

 2, −122,\ -12  

d)

 −6, 4-6,\ 4  

4.

Factor k2−2k−24k^2-2k-24  


a)

 (k−4)(k+6)(k-4)(k+6)  

b)

 (k+4)(k+6)(k+4)(k+6)  

c)

 (k+6)(k−1)(k+6)(k-1)  

d)

 (k+4)(k−6)(k+4)(k-6)  

5.

Factor x2+9x−36x^2+9x-36  


a)

 (x+12)(x−3)(x+12)(x-3)  

b)

 (x+9)(x−4)(x+9)(x-4)  

c)

 (x−9)(x−4)(x-9)(x-4)  

d)

 (x−12)(x+3)(x-12)(x+3)  

6.

Factor

 x2−10x+16x^2-10x+16  

a)

 (x+12)(x−2)(x+12)(x-2)  

b)

 (x−4)(x−6)(x-4)(x-6)  

c)

 (x+10)(x−2)(x+10)(x-2)  

d)

 (x−2)(x−8)(x-2)(x-8)  

7.
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)
8.
3x2 - 75
a)
3( x + 5 ) ( x - 5 ) 
b)
Prime
c)
( x + 5 ) ( x - 5 ) 
d)
3( x - 5 ) ( x - 5 ) 
9.
What is the greatest common factor of the two terms in the expression x5y2+x2y7z
a)
x2
b)
x2y2z
c)
x2y2
d)
x5y7z
10.
Factor
-10xy9z + 8y3z5
a)
2y4z(-20xy6 + 4z4)
b)
2y3z(-5xy6 +4z4)
c)
2y3z(-5xy6z + 4z5)
d)
2y3z(-5xy6z + 8z4)