NEW
Font size
S
M
L
XL
WorksheetsPolynomial Operations and Factoring Review
Total questions: 25
Worksheet time: 27mins
Name
Class
Date
1.
Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x2 + 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
2.
Find the sum.
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
(2x2 + 5x - 7) + ( 3 - 4x2 + 6x)
a)
2x2 + 3x +1
b)
-2x2 - 11x -4
c)
2x2 + 5x -7
d)
-2x2 + 11x -4
3.
Simplify the expression.
-3x2( 7x2 - x + 4)
-3x2( 7x2 - x + 4)
a)
-21x4 + 3x3 -12x2
b)
7x2 - x + 4 (-3x2)
c)
21x4 + 3x3 + 12x2
d)
-12x2 + 3x3 -21x4
4.
Find the product:
(x + 7)2
a)
x2 + 7x + 7x + 49
b)
x2 + 7x + 7
c)
x2 + 49
d)
x2 + 14x + 49
5.
Multiply.
(b+3)(b2+2b+1)
(b+3)(b2+2b+1)
a)
b3+6b2+6b+3
b)
b3+5b2+7b+3
c)
4b3+8b2+3b
d)
3b3+6b2+3b
6.
Find the product: (2x+5)3
a)
8x3+60x2+150x+125
b)
8x3+125
c)
8x3+150x2+60x+125
d)
8x3+20x2+50x+125
7.
Find the perimeter of the rectangle
a)
P= 10x + 2
b)
P= 12x
c)
P = 5x + 1
d)
P = 6x2 + 3x
8.
what is the greatest common factor of the three terms in the expression
-24m3n5p + 24mn4p2 + 4mn5
-24m3n5p + 24mn4p2 + 4mn5
a)
4mn
b)
24mn4
c)
4mn4
d)
4mn4p
9.
Factor
18a2b4c + 24ab3c2
18a2b4c + 24ab3c2
a)
6ab3c(3ab + 4c)
b)
3abc(6ab3 + 8b2c)
c)
6abc(3ab3 + 4c)
d)
6ab3c(3b + 4c)
10.
Factor
49m3q2 - 35mq2 - 42m3q4p2
49m3q2 - 35mq2 - 42m3q4p2
a)
7mq2(7m2q - 5 - 6m2p2q2)
b)
7mq2(7m3q - 5mq - 6m2p2q3)
c)
7mq2(7m2 - 5 - 6m2p2q2)
d)
7mq2(7mq - 5 - 6m2pq2)
11.
What are the factors of
25x2 - 81?
25x2 - 81?
a)
(5x - 9)(5x + 9)
b)
(5x - 9)(5x - 9)
c)
(5x + 9)(5x + 9)
d)
Cannot be factored
12.
Factor completely.
k2 -2k - 24
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
13.
Factor completely:
3x² + 5x - 12
3x² + 5x - 12
a)
(3x + 4)(x-3)
b)
(3x - 4)(x + 3)
c)
(3x + 3)(x -4)
d)
(3x - 3)(x + 4)
14.
Factor by grouping:
3x3-x2+6x-2
3x3-x2+6x-2
a)
(x2+2)(3x+1)
b)
(x2+2)(3x-1)
c)
(3x3+6x)(x2-2)
d)
none of the aboe
15.
Factor
a2 - a - 12
a2 - a - 12
a)
(a - 4)(a + 3)
b)
(a + 6)(a - 4)
c)
(a - 6)(a + 4)
d)
(a + 4)(a - 3)
16.
Factor
x2 + 9x - 36
x2 + 9x - 36
a)
(x + 12)(x - 3)
b)
(x + 9)(x - 4)
c)
(x - 12)(x + 3)
d)
(x - 9)(x - 4)
17.
Factor:x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
18.
Factor:
2x² - 3x - 2
2x² - 3x - 2
a)
(2x - 2)(x + 1)
b)
(2x + 1)(x - 2)
c)
(2x - 1)(x - 2)
d)
(2x - 1) (x - 1)
19.
Factor Completely.
8x3 - 18x
8x3 - 18x
a)
2x(4x2-9)
b)
(4x2+3)(2x-3)
c)
2x(2x+3)(2x-3)
d)
PRIME
20.
Factor 8z3+125
a)
(2z+5)(4z2-25)
b)
(2z+5)(4z2+10z+25)
c)
(2z+5)(4z2-10z+25)
d)
4z+5)(2z2-5z+25)
21.
Factor completely 250x4+128x
a)
(5x+4)(25x3-20x2+16x)
b)
2(5x+4)(25x3-20x2+16x)
c)
x(10x+8)(25x2-20x+16)
d)
2x(5x+4)(25x2-20x+16)
22.
16x4- 4x2
a)
4x2(4x2-1)
b)
4x2(2x-1)2
c)
4x2(2x-1)(2x+1)
d)
Prime
23.
15m3 + 24m2 + 9m
a)
3m(5m2+8m+3)
b)
3m(5m+3) (m+1)
c)
3m(5m-3) (m-1)
d)
PRIME
24.
5x3 - 40x2 + 60x
a)
(5x2-2) (x-6)
b)
5x(x-2) (x-6)
c)
5x(x2-8x+12)
d)
PRIME
25.
8x5- 8x3 + x2 - 1
a)
Prime
b)
(x+1)(x-1)(2x+1)(4x2-2x+1)
c)
(x+1)(x-1)(8x3 + 1)
d)
(x+1)(x-1)(2x+1)3
Reset
