AnswersVOA Math MN-Algebra I with Quadratics CR 3CIntroduction to Polynomials

Factoring Trinomials: a = 1 (Continued) Answers

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1
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Which shows the four-term polynomial and factored form of x2 + 6x – 27?

A
x2 + 3x – 9x – 27 = (x + 3)(x – 9)
B
x2 + 6x – 3x– 27 = (x + 6)(x – 3)
C
x2 + 9x – 3x – 27 = (x + 9)(x – 3)
D
x2 + 3x – 6x – 27 = (x + 3)(x – 6)
2
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The partial factorization of x2 – 3x – 10 is modeled with algebra tiles.

Question illustration
A
2 negative unit tiles
B
2 positive unit tiles
C
5 negative unit tiles
D
5 positive unit tiles
3

The factorization of a trinomial is modeled with algebra tiles.

Question illustration
A
x2 + 3x – 6
B
x2 + 5x – 6
C
x2 + 3x – 2
D
x2 + x – 6
4

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

A
x – 4
B
x + 4
C
x – 6
D
x + 6
5

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

A
−6
B
−2
C
2
D
6
6

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

Question illustration
A
3 and 6
B
2 and 9
C
6 and 3
D
9 and 2
7

Which shows the factored form of x2 – 12x – 45?

A
(x + 3)(x – 15)
B
(x – 3)(x – 15)
C
(x + 3)(x + 15)
D
(x – 3)(x + 15)
8

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

Question illustration
A
Step 1
B
Step 2
C
Step 3
D
Step 4
9

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

Question illustration
A
(x + 1) and (x – 4)
B
(x + 4) and (x – 1)
C
(x + 5) and (x – 4)
D
(x + 4) and (x – 5)
10

If one factor of x2 + 2x – 24 is (x+6), what is the other factor?

A
(x+8)
B
(x–8)
C
(x+4)
D
(x−4)

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