AnswersAlgebra I CR GTMultiplying Polynomials and Simplifying Expressions

Multiplying Polynomials and Simplifying Expressions Answers

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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.
4

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
5

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
7

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.
8

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
9

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

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