Is x2 − 1 a factor of P(x) = 2x4 + 7? If it is, write P(x) as a product of two factors.

Question

A. x2 − 1 is a factor. P(x) = (x2 − 1)(2x2 + 2)

B. x2 − 1 is a factor. P(x) = (x2 − 1)(2x2 − 2)

C. x2 − 1 is not a factor.

D. x2 − 1 is a factor. P(x) = (x2 − 1)(x + 9)

Please help

Answer 1

P(x) = 2x⁴ + 7 > 0 for any real x, so it has not real zeros. Because P(x) has not factor x² - 1 = (x + 1)(x -1) what has real zeros 1 and - 1

Answer is C.