AnswersSummer 2026 Common Core Algebra I - MA3109 B-IC MEF22QXVFactoring Polynomials: Double Grouping
Factoring Trinomials: a = 1 (Continued) Answers
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Juanita begins to factor an expression as shown.x2+3x−18=(x+)(x−)
A
3 and 6B
2 and 9C
6 and 3D
9 and 22
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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)3
A polynomial is factored using algebra tiles.
A
x2 – 2x – 8B
x2 + 2x – 8C
x2 – 2x – 4D
x2 + 2x – 44
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)5
What is the factored form of x2 – x – 2?
A
(x – 2)(x + 1)B
(x + 2)(x + 1)C
(x – 2)(x – 1)D
(x + 2)(x – 1)6
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)7
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)8
The factorization of a trinomial is modeled with algebra tiles.
A
x2 + 3x – 6B
x2 + 5x – 6C
x2 + 3x – 2D
x2 + x – 69
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 tiles10
If x – 9 is a factor of x2 – 5x – 36, what is the other factor?
A
x – 4B
x + 4C
x – 6D
x + 6Did you find these answers helpful?
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