Factoring Trinomials: a = 1 (Continued) Answers

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1
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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
2
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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
3

Which model shows the correct factorization of x2 + 2x – 8?

A
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled +, and 2 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled negative x, the 2 tiles below + x squared are labeled + x, and the 8 tiles below the negative x tiles are labeled negative.
Option A
B
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled +, and 2 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled negative x, the 2 tiles below + x squared are labeled + x, and the 8 tiles below the negative x tiles are labeled negative.
Option B
C
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 4 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled +. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled + x, the 2 tiles below + x squared are labeled negative x, and the 8 tiles below the + x tiles are labeled negative.
Option C
D
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 4 are labeled +. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled + x, the 2 tiles below + x squared are labeled negative x, and the 8 tiles below the + x tiles are labeled negative.
Option D
4

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)
5

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
6

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
7

Simon is factoring the polynomial.x2−4x−12(x−6)(x+______)

A
−6
B
−2
C
2
D
6
8

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)
9

Which shows the four-term polynomial and factored form of x2 + 6x – 27?

A
x2 + 3x – 9x – 27 = (x + 3)(x – 9)
B
x2 + 6x – 3x– 27 = (x + 6)(x – 3)
C
x2 + 9x – 3x – 27 = (x + 9)(x – 3)
D
x2 + 3x – 6x – 27 = (x + 3)(x – 6)
10

If one factor of x2 + 2x – 24 is (x+6), what is the other factor?

A
(x+8)
B
(x–8)
C
(x+4)
D
(x−4)

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