Factoring Trinomials: a = 1 (Continued)

Question 1

Mia is factoring the polynomial x2 + 4x – 12. She uses the steps shown.

Revolt · Accepted Answer

Step 4

Question 2

Which model shows the correct factorization of x2 + 2x – 8?

Revolt · Accepted Answer

An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 4 are labeled +. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 15 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled + x, the 2 tiles below + x squared are labeled negative x, and the 8 tiles below the + x tiles are labeled negative.

Question 3

Which shows the four-term polynomial and factored form of x2 + 6x – 27?

Revolt · Accepted Answer

x2 + 9x – 3x – 27 = (x + 9)(x – 3)

Question 4

Juanita begins to factor an expression as shown.x2+3x−18=(x+)(x−)

Revolt · Accepted Answer

6 and 3

Question 5

The trinomial x2 – 3x – 4 is represented by the model.

Revolt · Accepted Answer

(x + 1) and (x – 4)

Question 6

The factorization of a trinomial is modeled with algebra tiles.

Revolt · Accepted Answer

x2 + x – 6

Question 7

The partial factorization of x2 – 3x – 10 is modeled with algebra tiles.

Revolt · Accepted Answer

2 positive unit tiles

Question 8

If x – 9 is a factor of x2 – 5x – 36, what is the other factor?

Revolt · Accepted Answer

x + 4

Question 9

Simon is factoring the polynomial.x2−4x−12(x−6)(x+______)

Revolt · Accepted Answer

2

Question 10

What are the factors of the trinomial? Select two options.

Revolt · Accepted Answer

x – 7; x + 2

Factoring Trinomials: a = 1 (Continued) Answers

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