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WorksheetsFactoring Polynomials
Total questions: 31
Worksheet time: 1hrs 19mins
Name
Class
Date
1.
Factor x2-x-72
a)
(x-9)(x+8)
b)
(x+9)(x-8)
c)
(x+9)(x-8)
d)
(x-9)(x-8)
2.
Factor x2-11x-60
a)
(x-12)(x-5)
b)
(x-15)(x+4)
c)
(x-15)(x-4)
d)
(x+12)(x-5)
3.
Factor x2-14x+24
a)
(x-8)(x+3)
b)
(x+12)(x-2)
c)
(x+8)(x+3)
d)
(x-12)(x-2)
4.
Factor x2-2x-15
a)
(x+5)(x-3)
b)
(x-5)(x-3)
c)
(x-5)(x+3)
d)
(x+5)(x+3)
5.
Factor x2+4x-32
a)
(x+8)(x-4)
b)
(x-8)(x-4)
c)
(x-8)(x+4)
d)
(x+8)(x+4)
6.
x2-x-12
a)
(x+6)(x+2)
b)
(x-4)(x+3)
c)
(x+4)(x+3)
d)
(x-4)(x-3)
7.
w3 + 3w
a)
3w(1)
b)
w(w2 + 3)
c)
w3(w + 3)
8.
Factor
n2 + 5n - 6
n2 + 5n - 6
a)
(n - 2)(n - 3)
b)
(n - 1)(n + 6)
c)
(n + 1)(n - 6)
d)
(n + 2)(n - 3)
9.
Factor completely: 3x² - 7x + 2
a)
(x - 1) (3x + 2)
b)
(x - 2) (3x -1)
c)
(x - 1) (3x - 2)
d)
(x + 2) (3x + 1)
10.
Factor Completely: 2x² + x - 6
a)
(x + 2) (2x -3)
b)
(x - 6) (2x + 1)
c)
(x + 1) (2x - 6)
d)
(x - 2) (2x + 3)
11.
Factorly Completely: 2x² - 7x + 6
a)
(x -1)(2x - 6)
b)
(x - 3) (2x - 2)
c)
(x - 2) (2x - 3)
d)
(x - 6) (2x - 1)
12.
Factor completely: 2x² - 3x - 2
a)
(2x - 2)(x + 1)
b)
(2x + 1)(x - 2)
c)
(2x - 1)(x - 2)
d)
(2x - 1) (x - 1)
13.
Factor Completely: 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
x3 - 4x2 -4x + 16
a)
(x+4)(x+2)
b)
(x-4)(x2 -4)
c)
(x+4)(x2 -4)
d)
(x-4)(x-2)
15.
Factor by GCF:
63x4 - 7x2 + 28x
63x4 - 7x2 + 28x
a)
7x(9x2 - 7 + 4x)
b)
x(63x3 - 7x + 28)
c)
7x(9x3 - x + 4)
d)
not factorable
16.
Factor by grouping:
5n³-10n²+3n-6
5n³-10n²+3n-6
a)
(5n²+3)(n-2)
b)
(5n²-3)(n-2)
c)
(5n³+3)(n-2)
d)
10n(n²-6)
17.
Factor by grouping:
x³+7x²-2x-14
x³+7x²-2x-14
a)
(x²-2)(x-7)
b)
(x²+2)(x-7)
c)
(x²+2)(x+7)
d)
(x²-2)(x+7)
18.
Factor by grouping:
4p³+8p²+3p+6
4p³+8p²+3p+6
a)
(2p²+3)(p+2)
b)
(2p²+6)(p+4)
c)
(4p²+3)(p+2)
d)
(4p²+8p)(3p+6)
19.
a)
(4n+3)(4n-3)
b)
(16n+9)(16n-9)
c)
(4n-3)2
d)
(4n+3)2
20.
k4 -36
a)
(k2+6)(k2-6)
b)
(k2-6)2
c)
(k-6)4
d)
(k+6)(k-6)
21.
12p3-21p2+28p-49
a)
(3p2+7)(4p-7)
b)
(4p2+7)(3p-7)
c)
(2p+5)(2p-2)(3p+7)
d)
no clue
22.
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)
23.
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
24.
Factor completely.
2n2 + 13n + 15
2n2 + 13n + 15
a)
(5n - 9)(n - 3)
b)
(3n + 7)(n + 4)
c)
(2n + 3)(n + 5)
d)
Not factorable
25.
Factor completely.
2n2 + n - 6
2n2 + n - 6
a)
(2n + 7)(n - 9)
b)
Not factorable
c)
(2n - 3)(n - 2)
d)
(2n - 3)(n + 2)
26.
Factor completely.
3x2 - 75
3x2 - 75
a)
3( x + 5 ) ( x - 5 )
b)
Not factorable
c)
( x + 5 ) ( x - 5 )
d)
3( x - 5 ) ( x - 5 )
27.
Factor:
2m² + 3m - 9
2m² + 3m - 9
a)
2(m + 3)(m - 3)
b)
(2m - 3)²
c)
(m + 3)(2m - 3)
d)
(2m + 3)(m - 3)
28.
Factor:
x2 - 15x + 50
x2 - 15x + 50
a)
(x - 10)(x - 15)
b)
(x - 10)(x - 5)
c)
(x - 25)2
d)
(x - 5)2
29.
A classroom has an area of 3x2 + 7x + 2. If the length of the classroom is (3x + 1), what is the width of the classroom?
a)
3x + 1
b)
x + 2
c)
3x + 7
d)
7x + 2
30.
The area of a rectangle is (x2 + 17x+42) ft2. If its width is (x + 3) ft. What is its length?
a)
(x + 17) ft
b)
(x + 14) ft
c)
(x - 14) ft
d)
(x - 17) ft
31.
Factor:
2m² + 3m - 9
2m² + 3m - 9
a)
2(m + 3)(m - 3)
b)
(2m - 3)²
c)
(m + 3)(2m - 3)
d)
(2m + 3)(m - 3)
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