Question 83440 • Common Core Algebra I B-IC
Use the factor theorem: a binomial (x − r) is a factor only if substituting r into the polynomial gives 0. For x − 2, x + 2, and x − 4, the corresponding values are 14, −18, and −22, so none of those binomials is a factor. The quadratic has no integer factorization, so the correct choice is that the polynomial is prime.
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