AnswersCommon Core Algebra I B-ICFactoring Polynomials: Double Grouping

Factoring Trinomials: a = 1 (Continued) Answers

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1
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Which shows the factored form of x2 – 12x – 45?

A
(x + 3)(x – 15)
B
(x – 3)(x – 15)
C
(x + 3)(x + 15)
D
(x – 3)(x + 15)
2
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The factorization of a trinomial is modeled with algebra tiles.

Question illustration
A
x2 + 3x – 6
B
x2 + 5x – 6
C
x2 + 3x – 2
D
x2 + x – 6
3

A polynomial is factored using algebra tiles.

Question illustration
A
x2 – 2x – 8
B
x2 + 2x – 8
C
x2 – 2x – 4
D
x2 + 2x – 4
4

The factorization of x2 + 3x – 4 is modeled with algebra tiles.

Question illustration
A
(x + 4) and (x – 4)
B
(x + 3) and (x – 4)
C
(x + 4) and (x – 1)
D
(x + 3) and (x – 1)
5

Mia is factoring the polynomial x2 + 4x – 12. She uses the steps shown.

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
6

What are the factors of the trinomial? Select two options.

A
x – 14
B
x + 7
C
x – 7
D
x – 2
E
x + 2
7

The trinomial x2 – 3x – 4 is represented by the model.

Question illustration
A
(x + 1) and (x – 4)
B
(x + 4) and (x – 1)
C
(x + 5) and (x – 4)
D
(x + 4) and (x – 5)
8

The partial factorization of x2 – 3x – 10 is modeled with algebra tiles.

Question illustration
A
2 negative unit tiles
B
2 positive unit tiles
C
5 negative unit tiles
D
5 positive unit tiles
9

Juanita begins to factor an expression as shown.x2+3x−18=(x+)(x−)

Question illustration
A
3 and 6
B
2 and 9
C
6 and 3
D
9 and 2
10

What is the factored form of x2 − 4x − 5?

A
(x + 5)(x − 1)
B
(x + 5)(x + 1)
C
(x − 5)(x − 1)
D
(x − 5)(x + 1)
11

What is the factored form of x2 – x – 2?

A
(x – 2)(x + 1)
B
(x + 2)(x + 1)
C
(x – 2)(x – 1)
D
(x + 2)(x – 1)

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