Multiplying Polynomials and Simplifying Expressions Answers

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1
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Chin made an error in his chart showing the multiplication of the binomial by the trinomial.

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A
The expression 3x3 should be 3x2.
B
The expression 6x should be 6xy.
C
The expression x2y should be x2y2.
D
The expression 4y should be 4y2.
2
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Use the chart to multiply the binomial by the trinomial.

Question illustration
A
y3 + 27
B
y3 – 27
C
y3 – 6y2 + 27
D
y3 + 6y2 + 27
6

The polynomial x3 + 8 is equal to

A
(x + 2)(x2 – 2x + 4).
B
(x – 2)(x2 + 2x + 4).
C
(x + 2)(x2 – 2x + 8).
D
(x – 2)(x2 + 2x + 8).
8

What is the product of a+3 and −2a2+15a+6b2?

A
−2a3+9a2+45a+24b2
B
−2a3+21a2+45a+24b2
C
−2a3+9a2+45a+6ab2+18b2
D
−2a3+21a2+45a+6ab2+18b2
9

Sharina simplified the expression 3(2x – 6 – x + 1)2 – 2 + 4x. In Step 1 she simplified within the parentheses. In Step 2 she expanded the exponent.

Question illustration
A
Simplify the expression by adding and subtracting from left to right.
B
Combine like terms within the parentheses.
C
Combine all x-terms.
D
Distribute the 3 to each term in the parentheses by multiplying.
10

What is the product?(x − 3)(2x2 − 5x + 1)

A
2x3 − x2 + 16x + 3
B
2x3 − 11x2 + 16x + 3
C
2x3 − 11x2 + 16x − 3
D
2x3 − x2 + 16x − 3

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