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Factoring Polynomials Completely

Question 2 • 26/27 ALGEBRA II A

A polynomial has two terms. Check all of the factoring methods that should be considered.

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

Explanation

A two-term polynomial is a binomial. First, check whether its terms share a common factor. Then check whether it matches a special binomial pattern: a difference of cubes, a sum of cubes, or a difference of squares. A perfect-square trinomial has three terms, and factoring by grouping generally applies to polynomials with four terms, so neither fits here.

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