Which statement is true of x2 + 8x – 6?

Use the Factor Theorem: if (x − a) is a factor, substituting x = a into the polynomial must give 0. For the choices, the polynomial x² + 8x − 6 evaluates to 14 at x = 2, 14 at x = −2, and 42 at x = 4, so none of the listed binomials is a factor. It also has no integer factorization: its discriminant is 8² − 4(1)(−6) = 88, which is not a perfect square. Therefore the polynomial is prime, choice D.

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