AnswersAlgebra I CR GTMultiplying Polynomials and Simplifying Expressions

Multiplying Polynomials and Simplifying Expressions Answers

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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
3

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
4

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
5

Using the distributive property to find the product (y−4x)(y2+4y+16) results in a polynomial of the form y3+4y2+ay−4xy2−axy−64x. What is the value of a in the polynomial?

A
4
B
8
C
16
D
32
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).
7

Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x – 2) and got the expression below.(2x)(x2) + (2x)(x) + (2x)(–2) + (3)(x2) + (3)(x) + (3)(–2)Which is the simplified product?

A
2x3 + 6x2 – x – 6
B
2x3 + x2 – x – 6
C
2x3 + 5x2 – x – 6
D
2x3 – x2 – 7x – 6
8

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.
9

The product of a binomial and a trinomial is x 3 + 3 x 2 − x + 2 x 2 + 6 x − 2. Which expression is equivalent to this product after it has been fully simplified?

A
x3 + 5x2 + 5x – 2
B
x3 + 2x2 + 8x – 2
C
x3 + 11x2 – 2
D
x3 + 10x2 – 2
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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