The Binomial Theorem — Unit test Answers

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21
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Which expression is equivalent to ?

Question illustration
A
mc014-2.jpg
Option A
B
mc014-3.jpg
Option B
C
mc014-4.jpg
Option C
D
mc014-5.jpg
Option D
22
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A student factors 15c2 + c – 28 to the following. (c + 2)(15c – 14) Which statement about (c + 2)(15c – 14) is true?

A
The expression is equivalent, and it is completely factored.
B
The expression is equivalent, but it is not completely factored.
C
The expression is not equivalent, but it is completely factored.
D
The expression is not equivalent, and it is not completely factored.
23

The length of a rectangular field is represented by the expression . The width of the field is represented by the expression . How much greater is the length of the field than the width?

Question illustration
A
mc026-3.jpg
Option A
B
mc026-4.jpg
Option B
C
mc026-5.jpg
Option C
D
mc026-6.jpg
Option D
24

Holly finds that (11m – 13n + 6mn) – (10m – 7n + 3mn) = m – 20n + 9mn. What error did Holly make?

A
She only used the additive inverse of 10m when combining like terms.
B
She added the polynomials instead of subtracting.
C
She only used the additive inverses of –7n and 3mn when combining like terms.
D
She did not combine all like terms.
25

What is the quotient of (2x4 – 3x3 – 3x2 + 7x – 3) ÷ (x2 – 2x + 1)?

A
2 x Superscript 4 Baseline minus 3 x cubed minus eleven-halves
Option A
B
2x2 + x – 3 –
Option B
C
2x2 – x
D
2x2 + x – 3
26

What is the remainder when (3x3 – 2x2 + 4x – 3) is divided by (x2 + 3x + 3)?

A
30
B
3x – 11
C
28x – 36
D
28x + 30
27

The side length, s, of a cube is 3x + 2y. If V = s3, what is the volume of the cube?

A
3x3 + 18x2y + 36xy2 + 8y3
B
27x3 + 54x2y + 18xy2 + 2y3
C
27x3 + 18x2y + 12xy2 + 2y3
D
27x3 + 54x2y + 36xy2 + 8y3
28

Which expression is equivalent to ?

Question illustration
A
mc009-2.jpg
Option A
B
mc009-3.jpg
Option B
C
mc009-4.jpg
Option C
D
mc009-5.jpg
Option D
29

What is the completely factored form of ?

Question illustration
A
(2x - 5)(3x + 1)
B
(2x + 5)(3x - 1)
C
(2x - 1)(3x - 5)
D
(2x + 1)(3x + 5)

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