AnswersAdv. Algebra II S1 OriginalFactoring Polynomials Completely

Factoring Polynomials Completely Answers

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1
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Check all of the possible first steps in factoring a polynomial with four terms.

A
factor out a GCF
B
factor the difference of cubes
C
factor a sum of cubes
D
factor a difference of squares
E
factor a perfect-square trinomial
F
factor by grouping
2
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A polynomial has two terms. Check all of the factoring methods that should be considered.

A
common factor
B
difference of cubes
C
sum of cubes
D
difference of squares
E
perfect-square trinomial
F
factoring by grouping
3

Which polynomials are prime? Check all of the boxes that apply.

A
x2 + 9
B
x2 – 9
C
x2 + 3x + 9
D
–2x2 + 8
5

Which expression does not factor?

A
m3 + 1
B
m3 – 1
C
m2 + 1
D
m2 – 1
6

What is the completely factored form of 25x4 – 16y2?

A
(5x4 + 4y)(5x – 4y)
B
(5x3 + 4y)(5x2 – 4y)
C
(5x2 + 4y)(5x2 – 4y)
D
25x4 – 16y2

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