Factoring Trinomials: a = 1

Question 1

The model represents a polynomial and its factors.

Revolt · Accepted Answer

x2 – 4x + 3 = (x – 3)(x – 1)

Question 2

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

Revolt · Accepted Answer

(y − 8)

Question 3

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

Revolt · Accepted Answer

6

Question 4

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

Revolt · Accepted Answer

(n + 4)(n + 22)

Question 5

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

Revolt · Accepted Answer

(a+2)

Question 6

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 7

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 8

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

Revolt · Accepted Answer

(x − 9)(x − 3)

Question 9

Question 9

Revolt · Accepted Answer

9, 9x, 18x

Question 10

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

Revolt · Accepted Answer

m – 10 and m – 2

Factoring Trinomials: a = 1 Answers

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