Factoring Polynomials: Sum and Difference of Cubes Answers

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1
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Which monomial is a perfect cube?

A
49p9q3r24
B
81p12q15r12
C
121p9q3r6
D
343p6q21r6
2
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Which is a sum of cubes?

A
a3 + 18
B
a6 + 9
C
a9 + 16
D
a12 + 8
3

What is the cube root of 27x18?

A
3x6
B
3x9
C
9x6
D
9x9
4

Which product will result in a sum or difference of cubes?

A
(x + 7)(x2 – 7x + 14)
B
(x + 8)(x2 + 8x + 64)
C
(x – 9)(x2 + 9x + 81)
D
(x – 10)(x2 – 10x + 100)
5

Which is a difference of cubes?

A
x6 – 27
B
x15 – 36
C
x16 – 64
D
x5 – 125
6

Which expression is equivalent to ?

Question illustration
A
6xy2z4
B
18xy3z6
C
36xy2z4
D
72xy3z6
7

The factorization of 8x3 – 125 is (2x – 5)(jx2 + kx + 25). What are the values of j and k?

A
j = 6 and k = –10
B
j = 8 and k = 10
C
j = 4 and k = 25
D
j = 4 and k = 10
8

Which number in the monomial 215x18y3z21 needs to be changed to make it a perfect cube?

A
3
B
18
C
21
D
215
9

What is the cube root of 64x12?

A
4x4
B
4x6
C
8x4
D
8x6
10

Which expression is equivalent to ?

Question illustration
A
7x3y4z2
B
7x3y6z2
C
49x3y6z2
D
49x3y4z2

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