AnswersCommon Core Algebra I B-ICFactoring Polynomials Completely

Factoring Polynomials Completely — Unit test Answers

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The model represents a perfect square monomial.What equation is represented by the model?

Question illustration
A
(2x)2 = 4x2
B
(2x2)2 = 4x4
C
(4x)2 = 8x2
D
(4x2)2 = 8x8
2
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What is the factorization of 81a6 - 100?

A
(9a2 − 10)(9a3 + 10)
B
(9a2 − 10)(9a3 − 10)
C
(9a3 − 10)(9a3 + 10)
D
(9a3 − 10)(9a3 − 10)
3

Which expression is equivalent to 64 − 9x2?

A
(32)2 − (3x)2
B
(32)2 + (−3x)2
C
(8)2 − (3x)2
D
(8)2 + (−3x)2
4

The model represents the factorization of 2x2+5x+3.

Question illustration
A
(2x+3)(x+1)
B
(2x−3)(x−1)
C
(3x+2)(x+1)
D
(3x−2)(x−1)
5

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

Question illustration
A
1
B
2
C
3
D
4
6

Which polynomial is prime?

A
x2 + x + 1
B
x2 – x – 2
C
x2 – 12x + 11
D
x2 + 2x – 8
7

Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), what is the other factor?

A
2x−3
B
2x+3
C
3x−2
D
3x+2
8

Logan saves the same amount of money each month for college. His current total savings is 300m2 + 120m + 180 dollars. Which factorization could represent the number of months and amount of a monthly deposit in dollars?

A
4m(75m2 + 30m +40)
B
10m(30m2 + 12m +18)
C
30(10m2 +4m + 60)
D
60(5m2 +2m +3)
9

Arpitha factors out the greatest common factor, 9n, from the terms of the polynomial shown.162m3n4 + 45n= 9n(_______ + 5)

A
16m3n3
B
16m3n4
C
18m3n3
D
18m3n4
10

Which is a factor of x2 + 5x − 24?

A
(x − 6)
B
(x + 6)
C
(x − 8)
D
(x + 8)
11

The polynomial 24x3 − 54x2 + 44x − 99 is factored by grouping. 24x3 − 54x2 + 44x − 9924x3 + 44x − 54x2 − 994x(____) − 9(____)What is the common factor that is missing from both sets of parentheses?

A
6x + 11
B
6x − 11
C
6x2 + 11
D
6x2 − 11

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