Factoring Trinomials: a = 1 (Continued) Answers
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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 factorization of a trinomial is modeled with algebra tiles.
A
x2 + 3x – 6B
x2 + 5x – 6C
x2 + 3x – 2D
x2 + x – 63
If x – 9 is a factor of x2 – 5x – 36, what is the other factor?
A
x – 4B
x + 4C
x – 6D
x + 64
Mia is factoring the polynomial x2 + 4x – 12. She uses the steps shown.
A
Step 1B
Step 2C
Step 3D
Step 45
The trinomial x2 – 3x – 4 is represented by the model.
A
(x + 1) and (x – 4)B
(x + 4) and (x – 1)C
(x + 5) and (x – 4)D
(x + 4) and (x – 5)6
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)7
The partial factorization of x2 – 3x – 10 is modeled with algebra tiles.
A
2 negative unit tilesB
2 positive unit tilesC
5 negative unit tilesD
5 positive unit tiles8
What is the factored form of x2 − 4x − 5?
A
(x + 5)(x − 1)B
(x + 5)(x + 1)C
(x − 5)(x − 1)D
(x − 5)(x + 1)9
A polynomial is factored using algebra tiles.
A
x2 – 2x – 8B
x2 + 2x – 8C
x2 – 2x – 4D
x2 + 2x – 410
Which model shows the correct factorization of x2 + 2x – 8?
A
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled +, and 2 are labeled negative. 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 negative x, the 2 tiles below + x squared are labeled + x, and the 8 tiles below the negative x tiles are labeled negative.
B
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 2 are labeled +, and 2 are labeled negative. 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 negative x, the 2 tiles below + x squared are labeled + x, and the 8 tiles below the negative x tiles are labeled negative.
C
An algebra tile configuration. 5 tiles are in the Factor 1 spot: 1 is labeled + x, 4 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled +. 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.
D
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.
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