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WorksheetsFactoring Binomials
Total questions: 15
Worksheet time: 1hrs 21mins
Name
Class
Date
1.
Factor Completely:
x2 - 36
x2 - 36
a)
(x + 9)(x - 4)
b)
(x - 6)(x - 6)
c)
(x - 9)(x + 4)
d)
(x + 6)(x - 6)
2.
Factor:
x2 - 49
x2 - 49
a)
(x + 7)(x - 7)
b)
(x + 7)2
c)
(x - 7)2
d)
(x+7)(x-1)
3.
Factor the following
12x3y4z2+14x4yz-6x5y4z2
12x3y4z2+14x4yz-6x5y4z2
a)
2x3yz(6xy3z+7x-3x2y3z)
b)
6x3yz(2y3z+2x-1x2y3z)
c)
2x2y2z(6y3z+7x-3x2y3z)
d)
2xyz(6x2y3z+7xyz-3x2y3z)
4.
Which of the following binomials is not a difference of squares?
a)
x2 - 64
b)
x2 - 16
c)
x2 + 400
d)
x2 - 100
5.
Which binomials are a difference (subtraction) of two squares?
I. 6a2-25
II. 4x2+16
III. b2-9
IV. 49y2-64
I. 6a2-25
II. 4x2+16
III. b2-9
IV. 49y2-64
a)
I only
b)
III only
c)
III and IV
d)
II, III, and IV
6.
factor completely
81m2 - 1
81m2 - 1
a)
not factorable
b)
(m-9)(m+9)
c)
9m(9m-1)
d)
(9m-1)(9m+1)
7.
Factor Completely: 5x4-5
a)
5(x2-1)(X2+1)
b)
25(x2-1)(x2+1)
c)
5(x+1)(x-1)(x2+1)
d)
5(x4-1)
8.
Which binomials are a difference of two squares?
I. 81 - c2 II. 64g2 -h2
III. 25y2 + 1 IV. 36n2 - 27m4
I. 81 - c2 II. 64g2 -h2
III. 25y2 + 1 IV. 36n2 - 27m4
a)
I & III
b)
I only
c)
I & II
d)
I, II, & IV
9.
Factor Completely:
3x5 - 27x3
a)
3(x3 - 3)(x2 + 3)
b)
prime
c)
3x3(x2 - 9)
d)
3x3(x - 3)(x + 3)
10.
Factor: 8x3 - 1
a)
(2x - 1)(4x2 + 2x + 1)
b)
(2x + 1)(4x2 - 2x + 1)
c)
(2x - 1)(4x2 - 2x - 1)
d)
(2x + 1)(4x2 +2x + 1)
11.
Factor: 27x3 + 8
a)
(3x + 2)(9x2 - 6x + 4)
b)
(9x + 2)(3x2 + 18x + 4)
c)
(3x2+4)(9x + 2)
d)
(27x + 8)(x2 - 216x + 64)
12.
Factor
27x³-64
27x³-64
a)
(3x-4)(9x²+12x+16)
b)
(3x-4)(9x²-12x+16)
c)
(3x+4)(9x²-12x+16)
d)
(3x+4)(9x²+12x+16)
13.
Factor using differencesum/ of cubes. (use your notes!)
a³ + b³
a³ + b³
a)
(a-b)(a²+ab+b²)
b)
(a+b)(a²-ab+b²)
c)
(a-b)(a²-ab+b²)
d)
(a+b)(a²+ab+b²)
14.
WHAT FACTORING TECHNIQUE YOU HAVE TO USE TO SOLVE FOR THE FACTORS OF 27X3-343?
a)
DIFFERENCE OF CUBES
b)
DIFFERENCE OF SQUARES
c)
FACTORING BY GCF
d)
SUM OF CUBES
15.
Factor: 27x3 + 8
a)
(3x + 2)(9x2 - 6x + 4)
b)
(9x + 2)(3x2 + 18x + 4)
c)
(3x2+4)(9x + 2)
d)
(27x + 8)(x2 - 216x + 64)
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