AnswersVOA Math MN-Algebra I with Quadratics CR 3CIntroduction to Polynomials

Introduction to Polynomials — Unit test Answers

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Which is true about the polynomial y2 – 3y + 12?

A
It is a binomial with a degree of 2.
B
It is a binomial with a degree of 3.
C
It is a trinomial with a degree of 2.
D
It is a trinomial with a degree of 3.
2
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Which is a factor of 144 − 49x2?

A
12 - 7x2
B
72 – 7x2
C
12 – 7x
D
72 + 7x
3

A polynomial is factored using algebra tiles.

Question illustration
A
(x − 1) and (x + 3)
B
(x + 1) and (x − 3)
C
(x − 2) and (x + 3)
D
(x + 2) and (x − 3)
4

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.
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

Rodney models the factorization of a trinomial with algebra tiles as shown.

Question illustration
A
1
B
2
C
3
D
4
7

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
8

Which statement is true about the polynomial –3x4y3 + 8xy5 – 3 + 18x3y4 – 3xy5 after it has been fully simplified?

A
It has 3 terms and a degree of 5.
B
It has 3 terms and a degree of 7.
C
It has 4 terms and a degree of 5.
D
It has 4 terms and a degree of 7.
9

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
10

Four students are verifying thatx2 + x– 12 = (x – 3)(x + 4). Their conclusions are presented in the table.Which student correctly verified that x2 + x – 12 = (x – 3)(x + 4)?

Question illustration
A
Damien
B
Lauryn
C
Rico
D
Latisha
11

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
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
13

A rectangle has an area of (x2 − 17x + 72) square units. Since the area of a rectangle is determined using the formula, A = lw, what could be the length and width of the rectangle?

A
length = (x − 8) units and width = (x − 9) units
B
length = (x + 9) units and width = (x + 8) units
C
length = (x − 6) units and width = (x − 12) units
D
length = (x + 12) units and width = (x + 6) units
14

What is the greatest common factor of 8m, 36m3, and 12?

A
4
B
8
C
4m
D
8m
15

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

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