AnswersAlgebra IFactoring Trinomials: a = 1 (Continued)

Factoring Trinomials: a = 1 (Continued) — Quiz Answers

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1
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Which shows the factored form of x squared minus 12 x minus 45 ?

A
open paren x plus 3 close paren times open paren x plus 15 close paren
B
open paren x plus 3 close paren times open paren x minus 15 close paren
C
open paren x minus 3 close paren times open paren x plus 15 close paren
D
open paren x minus 3 close paren times open paren x minus 15 close paren
2
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Which is a factor of x squared plus 5 x minus 24 ?

A
open paren x plus 6 close paren
B
open paren x plus 8 close paren
C
open paren x minus 8 close paren
D
open paren x minus 6 close paren
3

What is the factored form of x squared minus 4 x minus 5 ?

A
open paren x plus 5 close paren times open paren x plus 1 close paren
B
open paren x minus 5 close paren times open paren x plus 1 close paren
C
open paren x minus 5 close paren times open paren x minus 1 close paren
D
open paren x plus 5 close paren times open paren x minus 1 close paren
5

Which shows the four-term polynomial and factored form of x squared plus 6 x minus 27 ?

A
x squared plus 3 x minus 9 x minus 27 is equal to open paren x plus 3 close paren times open paren x minus 9 close paren
B
x squared plus 9 x minus 3 x minus 27 is equal to open paren x plus 9 close paren times open paren x minus 3 close paren
C
x squared plus 6 x minus 3 x minus 27 is equal to open paren x plus 6 close paren times open paren x minus 3 close paren
D
x squared plus 3 x minus 6 x minus 27 is equal to open paren x plus 3 close paren times open paren x minus 6 close paren
6

What is the factored form of x squared minus x minus 2 ?

A
open paren x minus 2 close paren times open paren x plus 1 close paren
B
open paren x plus 2 close paren times open paren x plus 1 close paren
C
open paren x plus 2 close paren times open paren x minus 1 close paren
D
open paren x minus 2 close paren times open paren x minus 1 close paren
7

If open paren x minus 9 close paren is a factor of x squared minus 5 x minus 36 , what is the other factor?

A
open paren x plus 4 close paren
B
open paren x minus 6 close paren
C
open paren x plus 6 close paren
D
open paren x minus 4 close paren
8

If one factor of x squared plus 2 x minus 24 is open paren x plus 6 close paren , what is the other factor?

A
open paren x minus 4 close paren
B
open paren x plus 8 close paren
C
open paren x minus 8 close paren
D
open paren x plus 4 close paren
10

Which model shows the correct factorization of x squared plus 2 x minus 8 ?

A
Image with description An algebra tile layout with 4 rows and 6 columns inside a bordered grid. Along the top row are one blank cell on the left followed by one tile labeled positive x, and four tiles each labeled with a minus sign. Along the left column are one blank cell at the top, then two tiles each labeled positive x, then two tiles each labeled with a plus sign. In the interior grid, the first interior row contains one tile labeled positive x squared, followed by one tile labeled positive x, one tile labeled positive x, one tile labeled positive x, and one tile labeled negative x squared. The second interior row contains one tile labeled negative x, followed by four tiles each labeled with a minus sign. The third interior row contains one tile labeled positive x, followed by four tiles each labeled with a minus sign.
B
Image with description An algebra tile layout with 4 rows and 6 columns inside a bordered grid. Along the top row are one blank cell on the left followed by one tile labeled positive x, and four tiles each labeled with a plus sign. Along the left column are one blank cell at the top, then two tiles each labeled positive x, then two tiles each labeled with a minus sign. In the interior grid, the first interior row contains one tile labeled positive x squared, followed by one tile labeled positive x, one tile labeled positive x, one tile labeled positive x, and one tile labeled positive x. The second interior row contains one tile labeled negative x, followed by four tiles each labeled with a minus sign. The third interior row contains one tile labeled negative x, followed by four tiles each labeled with a minus sign.
C
Image with description An algebra tile layout with 4 rows and 6 columns inside a bordered grid. Along the top row are one blank cell on the left followed by one tile labeled positive x, and four tiles each labeled with a minus sign. Along the left column are one blank cell at the top, then two tiles each labeled positive x, then two tiles each labeled with a plus sign. In the interior grid, the first interior row contains one tile labeled positive x squared, followed by one tile labeled positive x, one tile labeled positive x, one tile labeled positive x, and one tile labeled negative x squared. The second interior row contains one tile labeled negative x, followed by four tiles each labeled with a minus sign. The third interior row contains one tile labeled positive x, followed by four tiles each labeled with a minus sign.
D
Image with description An algebra tile layout with 4 rows and 6 columns inside a bordered grid. Along the top row are one blank cell on the left followed by one tile labeled positive x, and four tiles each labeled with a minus sign. Along the left column are one blank cell at the top, then two tiles each labeled positive x, then two tiles each labeled with a plus sign. In the interior grid, the first interior row contains one tile labeled positive x squared, followed by one tile labeled positive x, one tile labeled positive x, one tile labeled positive x, and one tile labeled positive x. The second interior row contains one tile labeled negative x, followed by four tiles each labeled with a minus sign. The third interior row contains one tile labeled negative x, followed by four tiles each labeled with a minus sign.

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