wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Factoring Polynomials

Total questions: 10

Worksheet time: 33mins

Name
Class
Date
1.
Factor completely:
16x2 - 20xy
a)
4 (4x2 - 5xy)
b)
4x (4x - 5y)
c)
4x2 (4 - 5y)
d)
2(duck)
2.
Factor completely:
4x2y - 12xy + 5y
a)
(2xy - 1) (2x - 5)
b)
prime
c)
y (2x - 1) (2x - 5)
d)
4 (xy - 5) (x - 1)
3.
Factor completely:
y2 - 7y + 12
a)
(y - 3) (y - 4)
b)
(y + 3) (y - 4)
c)
(y + 3) (y + 4)
d)
(y - 2) (y - 6)
4.
Factor completely:
2x2 + 7x + 6
a)
(2x - 3) (x - 2)
b)
(2x + 3) (x + 2)
c)
(x + 3) (2x + 2)
d)
prime
5.
Factor completely:
4x2 - 121
a)
(2x + 11) (11 - 2x)
b)
(2x - 11) (2x - 11)
c)
(2x + 11) (2x + 11)
d)
(2x + 11) (2x - 11)
6.
Factor completely:
x2 - 5x + 3
a)
(x + 3) (x + 1)
b)
(x - 3) (x - 1)
c)
prime
d)
(x - 3) (x + 1)
7.
Factor completely:
-8x2 + 10x + 3
a)
(2x - 3) (-4x - 1)
b)
-1 (2x - 3) (4x + 1)
c)
-1 (-2x + 3) (4x + 1)
d)
(-2x + 3) (4x + 1)
8.
Factor completely:
169 - 9x2
a)
-1(3x + 13) (3x - 13)
b)
(3x + 13) (3x - 13)
c)
(3x + 13) (-3x - 13)
d)
-1(3x - 13) (3x - 13)
9.
The area of a circular rug is 6πk2 + 16πk + 8π
Factor the expression completely.
a)
π (6k +4)(k + 2)
b)
2π (3k - 2)(k - 2)
c)
2π (k + 2)(3k + 2)
d)
π (2k +4)(3k + 2)
10.
Factor completely:
49p2 + 84p + 36
a)
(7p - 6)(7p - 6)
b)
(7p - 6)2
c)
(7p + 6)(7p - 6)
d)
(7p + 6)(7p + 6)