AnswersSummer 2026 Common Core Algebra I - MA3109 B-IC MEF22QXVFactoring Polynomials: GCF

Factoring Polynomials: GCF — Unit test Answers

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What is the product?

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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
2
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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
3

Which is the simplified form of ?

Question illustration
A
p
B
StartFraction 1 Over p EndFraction
Option B
C
0
D
1
4

What is the value of t in this equation?

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Answer not available
5

Armando used algebra tiles to represent the product .

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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.
6

Selena is simplifying the expression . She wrote .What number should Selena put in the box?

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Answer not available
7

Which expressions have a value of ? Check all that apply.

Question illustration
A
(Two-thirds) Superscript 4
Option A
B
(StartFraction 16 Over 3 EndFraction) Superscript 4
Option B
C
(StartFraction 4 Over 81 EndFraction) squared
Option C
D
(StartFraction 4 Over 9 EndFraction) squared
Option D
E
(StartFraction 1 Over 81 EndFraction) Superscript 16
Option E
8

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
9

Which expressions can be simplified as ? Check all that apply.

Question illustration
A
(5 n Superscript negative 3 Baseline) Superscript 4
Option A
B
(5 n Superscript negative 3 Baseline) Superscript negative 4
Option B
C
(5 n Superscript negative 4 Baseline) Superscript 3
Option C
D
(25 n Superscript negative 6 Baseline) Superscript negative 2
Option D
E
(25 n Superscript negative 6 Baseline) Superscript 2
Option E
F
(25 n squared) Superscript negative 6
Option F
10

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.
11

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

A
4xy
B
4xy2
C
24xy
D
24xy2
12

Terri is rewriting in expanded form. How many factors should she use in her expression?

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Answer not available
13

What is the value of the expression ?

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Answer not available
14

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
15

What is the value of ?

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Answer not available

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