AnswersSummer 2026 Common Core Algebra I - MA3109 B-IC MEF22QXVFactoring Polynomials: Double Grouping
Factoring Polynomials: Sum and Difference of Cubes Answers
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1
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What are the factors of the trinomial? Select two options.
A
x – 14B
x + 7C
x – 7D
x – 2E
x + 22
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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.
3
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)4
The factorization of a trinomial is modeled with algebra tiles.
A
x2 + 3x – 6B
x2 + 5x – 6C
x2 + 3x – 2D
x2 + x – 65
A polynomial is factored using algebra tiles.
A
x2 – 2x – 8B
x2 + 2x – 8C
x2 – 2x – 4D
x2 + 2x – 4Did you find these answers helpful?
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