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

Factoring Trinomials: a = 1 Answers

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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?

n2 + 3n + 40 = (n – 8)(n – 5)

n2 + 13n + 40 = (n + 8)(n + 5)

n2 + 40n + 13 = (n + 8)(n + 5)

n2 + 40n + 3 = (n – 8)(n – 5)

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

m – 14 and m – 6

m – 10 and m – 2

m – 9 and m – 3

m – 5 and m – 4

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?

The length of the rectangle is k – 5 inches.

The width of the rectangle is k + 4 inches.

The length of the rectangle is k – 20 inches.

The width of the rectangle is k + 10 inches.

Which expression is equivalent to n2 + 26n + 88 for all values of n?

(n + 8)(n + 11)

(n + 4)(n + 22)

(n + 4)(n + 24)

(n + 8)(n + 18)

What is the factored form of the polynomial?x2 + 9x +20

(x − 4)(x − 5)

(x − 2)(x − 10)

(x + 4)(x + 5)

(x + 2)(x + 10)

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

(x + 3)(x + 7)

(x + 4)(x + 6)

(x + 6)(x + 15)

(x + 7)(x + 14)

The model represents x2 – 9x + 14.

x – 9

x – 2

x + 5

x + 7

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

(y − 5)

(y + 5)

(y − 8)

(y + 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?

(g−4)(g−10)

(g+4)(g+10)

(g+4)(g−10)

(g−4)(g+10)

Question text not available

27, 9x, 18x

9, 9x, 18x

27, 9x, 27x

9, 9x, 27x

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