NEW
Font size
S
M
L
XL
WorksheetsFactoring Practice
Total questions: 37
Worksheet time: 1hrs 20mins
Name
Class
Date
1.
Factor:
56a3-8a
56a3-8a
a)
8a2(56a3-8a)
b)
8a(7a2-1)
c)
8a(7a3-a)
d)
8a2(35a2-a)
2.
Factor:
2n2-8n3
2n2-8n3
a)
2n2(n-4n2)
b)
2n2(1-4n)
c)
2n3(10-8n2)
d)
3n(1-4n)
3.
Factor:
2n3+16n+12
2n3+16n+12
a)
2n(n3+24n+6)
b)
2(n3+8n+6)
c)
2n(n3+8n+6)
d)
3(n3+8n+6)
4.
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)
5.
Factor
n2 + 16n + 63
n2 + 16n + 63
a)
(n-7)(n+4)
b)
(n+7)(n-9)
c)
(n-3)(n-10)
d)
(n+7)(n+9)
6.
Factor
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)
7.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
8.
Factor:
4h² - 17h + 4
4h² - 17h + 4
a)
(2h - 2)²
b)
4(h + 4)(h + 1)
c)
(2h - 2)(2h + 2)
d)
(h - 4)(4h - 1)
9.
What is the first question you ask yourself when factoring a polynomial?
a)
How many terms does it have?
b)
Is there a GCF?
c)
What strategy should I use?
d)
Why do I have to learn this?!?!?!
10.
Factor Completely:
x4-9x2
Hint: Factor GCF first.
x4-9x2
Hint: Factor GCF first.
a)
x2(x+3)(x-3)
b)
(x2+3x)(x2-3x)
c)
(x2+9)(x-3)(x+3)
d)
x2(x2-9)
11.
Factor
9x2-6x-8
9x2-6x-8
a)
(3x+2)(3x-4)
b)
(3x+2)(3x+4)
c)
(3x-2)(3x-4)
d)
(x-1)(9x+8)
12.
Factor
4n2-17n-15
4n2-17n-15
a)
(n-10)(6n+1)
b)
(4n-5)(n-3)
c)
(n-5)(4n-3)
d)
(n-5)(4n+3)
13.
Factor
3v2 - 4v - 7
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
14.
Factor
81m2 - 1
81m2 - 1
a)
not factorable
b)
(m-9)(m+9)
c)
9m(9m-1)
d)
(9m-1)(9m+1)
15.
Factor
v2 - 6v + 9
v2 - 6v + 9
a)
(v-3)2
b)
(v-6)2
c)
(v-9)(v+6)
d)
not factorable
16.
Factor:
x2 - 23x - 24
x2 - 23x - 24
a)
(x + 24)(x - 1)
b)
(x - 12)(x + 2)
c)
(x - 24)(x + 1)
d)
(x + 12)(x - 2)
17.
Factor:
x2 - 5x - 24
x2 - 5x - 24
a)
(x - 8)(x + 3)
b)
(x + 8)(x - 3)
c)
(x - 8)(x - 3)
d)
(x + 8)(x + 3)
18.
Find GCF of 22x3+11x2
a)
11x
b)
11x2
c)
22x
d)
22x2
19.
Find GCF 15n3+25n2
a)
5
b)
15n
c)
5n2
d)
5n
20.
x2 - 25
a)
( x + 5 ) ( x - 5 )
b)
( x - 5 ) ( x - 5 )
c)
( x + 5 ) ( x + 5 )
d)
Prime
21.
Factor
81m2 - 1
81m2 - 1
a)
not factorable
b)
(m-9)(m+9)
c)
9m(9m-1)
d)
(9m-1)(9m+1)
22.
Factor 6x2-27x
a)
(6x+1)(x+3)
b)
3x(2x-9)
c)
6x(x-9)
d)
(3x-9)(2x+3)
23.
Find the expression equivalent
to (x-1)(x-9)
to (x-1)(x-9)
a)
x2+9
b)
x2-10x+9
c)
x2-10x-9
d)
x2+10x+9
24.
Factor completely: x2 - 36
a)
(x - 6)2
b)
(x - 9)(x + 4)
c)
(x + 6)(x - 6)
d)
(x - 9)(x - 4)
25.
Factor Completely:
2c2 + 4c - 84
Hint: Factor GCF first.
2c2 + 4c - 84
Hint: Factor GCF first.
a)
(c-6)(2c+14)
b)
(c+7)(2x-12)
c)
(c-4)(2c+21)
d)
2(c+7)(c-6)
26.
6m2 + 16m
a)
2(3m2 + 8m)
b)
2m(3m + 8)
c)
2m(3m - 8m)
d)
not factorable
27.
Factor Completely:
3x2 + 18x +15
Hint: Factor GCF first.
3x2 + 18x +15
Hint: Factor GCF first.
a)
3(x2 + 6x + 5)
b)
(x + 5)(x + 1)
c)
3(x + 5)(x + 1)
d)
Prime
28.
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
29.
Factor:
2n2-8n3
2n2-8n3
a)
2n2(n-4n2)
b)
2n2(1-4n)
c)
2n3(10-8n2)
d)
3n(1-4n)
30.
Factor by using GCF:
10x2 + 15x-5
10x2 + 15x-5
a)
25(10x3+45x-15)
b)
5(2x3 + 3x2-x)
c)
x(10x3+15x-5)
d)
5(2x2+3x-1)
31.
What is the GCF of the trinomial?
3x2 - 9x -120
3x2 - 9x -120
a)
3
b)
2
c)
6
d)
9
32.
Which is another way of correctly expressing
(x - 3)(x - 3)?
(x - 3)(x - 3)?
a)
(x2 - 32)
b)
(x2 - 3)
c)
(x + 3)(x - 3)
d)
(x - 3)2
33.
Factor: n2 -n - 2
a)
(n-2)(n+1)
b)
(n+2)(n-1)
c)
(n-2)(n-1)
d)
n(n-2)
34.
Factor:
p2 - 14p
p2 - 14p
a)
p(1 - 14)
b)
2p(p - 7)
c)
p2(1-14)
d)
p(p - 14)
35.
Factor: Find the GCF
80x5-70x2-60x7
a)
2x2(80x3-70-60x6)
b)
10x2(80x4-70x-60x6)
c)
10x2(8x3-7-6x5)
d)
3x2(80x3-40-60x5)
36.
Factor: Find the GCF
3y4 + 9y3 - 6y2 - 18y
a)
3y(y3 - 3y2 + 2y + 6)
b)
y(3y3 - 9y2 + 6y + 18)
c)
y(3y3 + 9y2 - 6y - 18)
d)
3y(y3 + 3y2 - 2y - 6)
37.
Factor: Find the GCF
-10xy9z + 8y3z5
a)
2y4z(-20xy6 + 4z4)
b)
2y3z(-5xy6 +4z4)
c)
2y3z(-5xy6z + 4z5)
d)
2y3z(-5xy6z + 8z4)
Reset
