Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Practice: Factoring Trinomials(a = 1, a >1, diff. of squares)

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.
Factor
x2 + 12x + 36
a)
(x + 6)(x +6)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 6)(x - 6)
2.
Factor
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
3.

Factor completely.

x2+8x−9x^2+8x-9  

a)

(x+3)(x−3)\left(x+3\right)\left(x-3\right)  

b)

(2x+3)(x−3)\left(2x+3\right)\left(x-3\right)  

c)

(x−9)(x+1)\left(x-9\right)\left(x+1\right)  

d)

(x−1)(x+9)\left(x-1\right)\left(x+9\right)  

4.
Factor:
2x² + 13x + 15
a)
(2x + 1)(x + 15)
b)
(x + 3)(x + 5)
c)
(2x - 3)(x - 5)
d)
(2x + 3)(x + 5)
5.
Factor
4n2-17n-15
a)
(n-10)(6n+1)
b)
(4n-5)(n-3)
c)
(n-5)(4n-3)
d)
(n-5)(4n+3)
6.

Factor:

2x² + 3x - 9

a)

2(x + 3)(x - 3)

b)

(2x - 3)²

c)

(x + 3)(2x - 3)

d)

(2x + 3)(x - 3)

7.

x2 - 400 (use square root chart)

a)
( x - 200) ( x + 200) 
b)
( x + 20) ( x + 20) 
c)
Prime
d)
( x - 20) ( x + 20) 
8.
4a2 - 25
a)
(2a + 5) (2a - 5)
b)
(2a - 5) (2a - 5)
c)
(x + 5) (x - 5)
d)
Can't factor using Diff. of Squares
9.
r2 - 9t2
a)
(r + 3t) (r - 3t)
b)
(r - 3t) (r - 3t)
c)
(3r + t) (3r - t)
d)
Can't factor using Diff. of Squares
10.
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)