AnswersAdv. Algebra II S1 OriginalFactoring Polynomials Completely

Factoring Polynomials Completely Answers

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Which expression is equal to the polynomial below?2x4 + 5x3 – 8x – 20

A
x3(2x + 5) + 4(2x – 5)
B
x3(2x + 5) – 4(2x + 5)
C
x3(2x – 5) – 4(2x – 5)
D
x3(2x + 5) + 4(2x + 5)
3

Factor out the common factor.

A
2x4 + 5x3 – 8x –20
B
(x3 + 4)(–2x – 5)
C
(x3 – 4)(2x + 5)
D
(x3 + 4)(2x + 5)
4

After the common factor is removed, the remaining factor is a .

A
perfect-square trinomial
B
trinomial that is not a perfect square
C
sum of cubes
D
difference of squares
6

What is the completely factored form of x3 + 4x2 – 9x – 36?

A
(x + 3)(x – 3)
B
(x2 – 9)(x + 4)
C
(x + 3)(x – 3)(x + 4)
D
(x – 3)(x – 3)(x + 4)

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