Factoring Trinomials: a = 1 Answers

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1
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Which equivalent four-term polynomial can be created using the X method?

A
x2 + 8x + 8x + 48
B
x2 – 12x – 4x + 48
C
x2 + 12x + 4x + 48
D
x2 – 8x – 8x + 48
3

(x + 4)(x + 6)(x – 4)(x – 6)✔ (x + 3)(x + 8)(x – 3)(x – 8)

A
(x + 4)(x + 6)
B
(x – 4)(x – 6)
C
(x + 3)(x + 8)
D
(x – 3)(x – 8)
4

111✔ 24264

A
1
B
11
C
24
D
264
5

1✔ 234

A
1
B
2
C
3
D
4
6

Which expression has an equivalent value to x2 + 9x + 8 for all values of x?

A
(x + 1)(x + 8)
B
(x + 2)(x + 6)
C
(x + 4)(x + 4)
D
(x + 5)(x + 4)
8

The trinomial x2 + bx + c factors to (x + m)(x + n). If b is negative and c is positive, what must be true about m and n?

A
m and n are both positive.
B
m is positive and n is negative.
C
m is negative and n is positive.
D
m and n are both negative.
9

Which geometric model using algebra tiles represents the factorization of x2 – 5x + 6?

A
[Image: An algebra tile configuration. 4 tiles are in the ...]
Option A
B
[Image: An algebra tile configuration. 3 tiles are in the ...]
Option B
C
[Image: An algebra tile configuration. 3 tiles are in the ...]
Option C
D
[Image: An algebra tile configuration. 4 tiles are in the ...]
Option D
10

Which expression is the factored form of x2 – 7x + 10?

A
(x + 3)(x + 4)
B
(x – 3)(x – 4)
C
(x – 2)(x – 5)
D
(x + 2)(x + 5)
11

Why might algebra tiles not be a good tool to use to factor x2 + 18x + 80? Explain.

Answer:

Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an xsquared tile, 18 xtiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.

12

67✔ 910

A
6
B
7
C
9
D
10
13

What did you include in your response? Check all that apply.

A
There are a lot of tiles to drag onto the board.
B
You would need to create a rectangle from 99 tiles.
C
80 is a multiple of 10, so it has factors of 10 and 8, which add to 18.

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