Factoring Trinomials: a = 1

Question 1

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?

Revolt · Accepted Answer

The width of the rectangle is k + 4 inches.

Question 2

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

Revolt · Accepted Answer

6

Question 3

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

Revolt · Accepted Answer

m – 10 and m – 2

Question 4

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?

Revolt · Accepted Answer

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

Question 5

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

Revolt · Accepted Answer

(y − 8)

Question 6

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

Revolt · Accepted Answer

(x − 9)(x − 3)

Question 7

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

Revolt · Accepted Answer

–3x and –6x

Question 8

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

Revolt · Accepted Answer

(x + 3)(x + 7)

Question 9

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?

Revolt · Accepted Answer

(g+4)(g+10)

Question 10

The model represents a polynomial and its factors.

Revolt · Accepted Answer

x2 – 4x + 3 = (x – 3)(x – 1)

Factoring Trinomials: a = 1 Answers

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