Factoring Trinomials: a = 1

Question 1

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 2

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

Revolt · Accepted Answer

x2 − 4x + 4; x2 + 10x + 25

Question 3

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

Revolt · Accepted Answer

6

Question 4

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

Revolt · Accepted Answer

(a+2)

Question 5

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

Revolt · Accepted Answer

(x + 3)(x + 7)

Question 6

The model represents a polynomial and its factors.

Revolt · Accepted Answer

x2 – 4x + 3 = (x – 3)(x – 1)

Question 7

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 8

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

Revolt · Accepted Answer

m – 10 and m – 2

Question 9

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

Revolt · Accepted Answer

(x + 4)(x + 5)

Question 10

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.

Factoring Trinomials: a = 1 Answers

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