AnswersTX-Algebra I A-CRUnit Test

Factoring Trinomials: a > 1 Answers

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Which expression is the factorization of x2 + 10x + 21?

A
(x + 3)(x + 7)
B
(x + 4)(x + 6)
C
(x + 6)(x + 15)
D
(x + 7)(x + 14)
2
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Bailey writes the expression g2 + 14g + 40 to represent the area of a planned school garden in square feet. What factors can be used to find the dimensions of her garden?

A
(g−4)(g−10)
B
(g+4)(g+10)
C
(g+4)(g−10)
D
(g−4)(g+10)
3

The binomial (a+5) is a factor of a2+7a+10. What is the other factor?

A
(a+2)
B
(a+5)
C
(a−2)
D
(a−5)
4

The diagram represents the factorization of a2+8a+12.

Question illustration
A
6
B
8
C
12
D
24
5

The model represents x2 – 9x + 14.

Question illustration
A
x – 9
B
x – 2
C
x + 5
D
x + 7
6

Which are perfect square trinomials? Select two options.x2 − 9x2 −100x2 − 4x + 4x2 + 10x + 25x2 + 15x + 36

A
x2 − 9
B
x2 −100
C
x2 − 4x + 4
D
x2 + 10x + 25
E
x2 + 15x + 36
7

What is the factored form of the polynomial?x2 − 12x + 27?

A
(x + 4)(x + 3)
B
(x − 4)(x + 3)
C
(x + 9)(x + 3)
D
(x − 9)(x − 3)
8

Ms. Wilson draws a model of the factorization of a polynomial with integer factors. Her model is partially complete. Which equation is represented by Ms. Wilson’s model?

Question illustration
A
n2 + 3n + 40 = (n – 8)(n – 5)
B
n2 + 13n + 40 = (n + 8)(n + 5)
C
n2 + 40n + 13 = (n + 8)(n + 5)
D
n2 + 40n + 3 = (n – 8)(n – 5)
9

The model represents a polynomial and its factors.

Question illustration
A
x2 – 2x – 3 = (x – 3)(x + 1)
B
x2 – 4x + 3 = (x – 3)(x – 1)
C
x2 + 2x + 3 = (x + 3)(x – 1)
D
x2 + 4x – 3 = (x + 3)(x + 1)
10

The binomial (y − 2) is a factor of y2 − 10y + 16. What is the other factor?

A
(y − 5)
B
(y + 5)
C
(y − 8)
D
(y + 8)

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