AnswersAlgebra I CR GTMultiplying Polynomials and Simplifying Expressions

Multiplying Polynomials and Simplifying Expressions — Unit test Answers

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What is the product?(5r − 4)(r2 − 6r + 4)

A
5r3 − 34r2 + 44r − 16
B
5r3 − 4r2 + 14r − 16
C
5r3 − 6r − 16
D
5r3 + 10r − 16
2
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Which is equivalent to , and what type of special product is it?

Question illustration
A
; a perfect square trinomial
Option A
B
; the difference of squares
Option B
C
; a perfect square trinomial
Option C
D
; the difference of squares
Option D
3

The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?

A
g = –9 and h = 7
B
g = 9 and h = –3
C
g = –7 and h = 7
D
g = 7 and h = 3
4

What is the product?

Question illustration
A
negative 81 t squared minus 16
Option A
B
negative 81 t squared + 16
Option B
C
negative 81 t squared minus 72 t + 16
Option C
D
negative 81 t squared + 72 t + 16
Option D
5

What is the difference of the two polynomials?(7y2 + 6xy) – (–2xy + 3)

A
7y2 + 4xy – 3
B
7y2 + 8xy – 3
C
7y2 + 4xy + 3
D
7y2 + 8xy + 3
6

Armando used algebra tiles to represent the product .

Question illustration
A
He used the algebra tiles correctly.
B
He did not represent the two original factors correctly.
C
The signs on some of the products are incorrect.
D
Some of the products do not show the correct powers of x.
7

The variables X, Y, and Z represent polynomials where X = a, Y = 3a – 5, and Z = a2 + 2. What is X2Y – Z in simplest form?

A
2a2 – 5a – 2
B
3a3 – 6a2 – 2
C
–3a3 – 2
D
–3a2 – 2
8

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x – 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 – 3x – 520. The variable x represents the number of skateboards sold.

A
27x – 650
B
27x + 390
C
33x – 650
D
33x + 390
9

Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?

A
The difference has 3 terms and a degree of 6.
B
The difference has 4 terms and a degree of 6.
C
The difference has 3 terms and a degree of 7.
D
The difference has 4 terms and a degree of 7.
10

Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x2 – 16) feet and (–x2 + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper?

A
x2 + 4x – 15; 3 feet
B
x2 + 4x – 15; 6 feet
C
2x2 + 8x – 30; 6 feet
D
2x2 + 8x – 30; 12 feet
11

What is the product?

Question illustration
A
2 x squared minus 3
Option A
B
2 x squared + 6 x
Option B
C
2 x squared + 5 x minus 3
Option C
D
2 x squared + 6 x minus 3
Option D
12

What is the polynomial 3y2 + (y + 7)2 – 15 after it has been fully simplified and written in standard form?

A
4y2 + 34
B
3y2 + y + 34
C
4y2 + 14y + 34
D
4y4 + 34

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