Multiplying Polynomials and Simplifying Expressions Answers

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Iliana multiplied 3p – 7 and 2p2 – 3p – 4. Her work is shown in the table.

Question illustration
A
6p3 + 23p2 + 9p + 28
B
6p3 – 23p2 – 9p + 28
C
6p3 – 23p2 + 9p + 28
D
6p3 + 23p2 – 9p + 28
3

What is the product of (3a + 2)(4a2 – 2a + 9)?

A
12a3 − 2a + 18
B
12a3 + 6a + 9
C
12a3 − 6a2 + 23a + 18
D
12a3 + 2a2 + 23a + 18
4

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

Question illustration
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.
5

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).
7

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
8

Use the chart to multiply the binomial by the trinomial.

Question illustration
A
15y3 + 17y2 + 22y + 15
B
6y3 + 17y2 + 22y + 15
C
6y3 + 20y2 + 22y + 15
D
6y3 + 17y2 + 22y + 25
10

Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Select three options.

A
The term –2(x – 2)2 is simplified by first squaring the expression x – 2.
B
The simplified product is a binomial.
C
After multiplying, the like terms are combined by adding and subtracting.
D
The parentheses are eliminated through multiplication.
E
The final simplified product is –28x2 +8x – 8.

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