WorksheetsFactoring Patterns
Total questions: 10
Worksheet time: 5mins
Name
Class
Date
1.
If one factor of 56x4y3 - 42x2y6 is 14x2y3, then the other factor is:
a)
4x² - 3y³
b)
4x² - 3y²
c)
4x²y - 3xy³
d)
4x²y - 3xy²
2.
When factored completely, x³ - 13x² - 30x is:
a)
x(x + 3)(x - 10)
b)
x(x - 3)(x - 10)
c)
x(x + 2)(x - 15)
d)
x(x - 2)(x - 10)
3.
Factor completely: x4 - 13x2 + 36
a)
(x² - 6)(x² - 6)
b)
(x² - 4)(x² - 9)
c)
(x - 3)(x - 2)(x + 3)(x - 2)
d)
(x - 3)(x + 2)(x + 3)(x - 2)
4.
The factors of 9x3 - x are:
a)
(3x - 1)(3x + 1)
b)
x(3x - 1)(3x + 1)
c)
x(3x - 1)(3x - 1)
d)
(3x2 - 1)(3x + 1)
5.
The factors of 1 - 1/x2 are:
a)
(1 - x)(1 + x)
b)
(1 - 1/x)(1 - 1/x)
c)
(1 - 1/x)(1 + 1/x)
d)
(1 - 1/x)2
6.
The correct pattern for factoring the difference of cubes, a3 - b3, is:
a)
(a - b)(a² + ab + b²)
b)
(a + b)(a² - ab + b²)
c)
(a - b)(a² - ab + b²)
d)
(a - b)(a² - ab - b²)
7.
Factor completely a8 - b8 :
a)
(a4 - b4)(a4 + b4)
b)
(a2 + b2)(a2 + b2)(a2 - b2)(a - b)(a + b)
c)
(a2 + b2)(a4 + b4)(a - b)(a + b)
d)
(a2 + b2)(a2 + b2)(a4 - b4)
8.
The factoring pattern for a3 + b3 is:
a)
(a - b)(a2 - ab + b2)
b)
(a - b)(a2 + ab + b2)
c)
(a + b)(a2 - ab + b2)
d)
(a - b)(a2 - 2ab + b2)
9.
The factors of 27x3 + 8 are:
a)
(3x + 2)(9x2 - 6x + 4)
b)
(3x - 2)(9x2 - 6x + 4)
c)
(3x + 2)(9x2 + 6x + 4)
d)
(3x + 2)(9x2 + 6x - 4)
10.
The factors of (x - y)3 + 64z3 are:
a)
[(x - y)2 + 4z][(x - y) + 4z]
b)
[(x - y) + 8z][(x - y)2 + 8z(x - y) - 16z2]
c)
[(x - y) + 4z][(x - y)2 - 4z(x - y) + 16z2]
d)
[(x - y) - 8z][(x - y)2 + 4z(x - y) - 16z2]
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