Question 83440 • Common Core Algebra I B-IC
Test the proposed factors by substituting their zeros into the polynomial f(x) = x² + 8x − 6. We get f(2) = 14, f(−2) = −18, and f(4) = 42, so none of the listed binomials is a factor. The discriminant is 8² − 4(1)(−6) = 88, which is not a perfect square, so the polynomial does not factor over the integers; it is prime.
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