AnswersFL-1200310-Algebra 1 Sem 2Multiplying Polynomials and Simplifying Expressions

Multiplying Polynomials and Simplifying Expressions — Unit test Answers

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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
2
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Omar grouped the terms and factored the GCF out of the groups of the polynomial 3x3 – 15x2 – 4x + 20. His work is shown.Step 1: (3x3 – 15x2) + (–4x + 20)Step 2: 3x2(x – 5) + 4(–x + 5)

A
Omar should realize that his work shows that the polynomial is prime.
B
Omar should go back and regroup the terms in Step 1 as (3x3 – 15x2) – (4x + 20).
C
In Step 2, Omar should factor only out of the first expression.
D
Omar should factor out a negative from one of the groups so the binomials will be the same.
3

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
4

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.
5

What is the factored form of the polynomial?z2 − 10z + 25

A
(z − 5)(z − 5)
B
(z + 5)(z + 5)
C
(z − 2)(z + 5)
D
(z + 2)(z − 5)
6

What is the greatest common factor of 4xy2 and 20x2y4?

A
4xy
B
4xy2
C
24xy
D
24xy2
7

Which values are solutions to >–2? Select two options.

Question illustration
A
k = –10
B
k = –7
C
k = –5
D
k = –1
E
k = 0
8

The equation |p| = 2 represents the total number of points that can be earned or lost during one turn of a game. Which best describes how many points can be earned or lost during one turn?

A
–2
B
2
C
0 or 2
D
–2 or 2

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