AnswersSummer 2026 Common Core Algebra I - MA3109 B-IC MEF22QXVFactoring Polynomials: Double Grouping

Factoring Trinomials: a > 1 Answers

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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)
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 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)
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

Question text not available

Question illustration
A
27, 9x, 18x
B
9, 9x, 18x
C
27, 9x, 27x
D
9, 9x, 27x
6

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)
7

The model represents x2 – 9x + 14.

Question illustration
A
x – 9
B
x – 2
C
x + 5
D
x + 7
8

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

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