Use the Factor Theorem to determine whether x +2 is a factor of P (x) = 2x^4 + 2x^3 -2x -20. Specifically, evaluate at the proper value, and then determine whether x+2 is a factor.

Respuesta :

Answer:

P(-2) = 2(-2)⁴ + 2(-2)³ - 2(-2) - 20

= 2(16) + 2(-8) + 4 - 20

= 32 - 16 + 4 - 20

= 0

So x + 2 is a factor of P(x) = 2x⁴ + 2x³ - 2x - 20.