Lesson 7.8: Factoring Trinomials: a = 1 Answers

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A rectangle has an area of k2 + 19k + 60 square inches. If the value of k and the dimensions of the rectangle are all natural numbers, which statement about the rectangle could be true?

A
The length of the rectangle is k – 5 inches.
B
The width of the rectangle is k + 4 inches.
C
The length of the rectangle is k – 20 inches.
D
The width of the rectangle is k + 10 inches.
2
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The diagram represents the factorization of a2+8a+12.

Question illustration
A
6
B
8
C
12
D
24
3

The model represents x2 – 9x + 14.

Question illustration
A
x – 9
B
x – 2
C
x + 5
D
x + 7
4

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)
5

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)
6

What are the factors of m2 – 12m + 20?

A
m – 14 and m – 6
B
m – 10 and m – 2
C
m – 9 and m – 3
D
m – 5 and m – 4
7

Question text not available

Question illustration
A
27, 9x, 18x
B
9, 9x, 18x
C
27, 9x, 27x
D
9, 9x, 27x
8

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)
9

The diagram represents the factorization of x2 – 9x + 18. It is partially completed. Which two terms are missing from the diagram?

Question illustration
A
–x and –8x
B
–2x and –7x
C
–3x and –6x
D
–4x and –5x
10

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)

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Lesson 7.8: Factoring Trinomials: a = 1 Answers…