Use the factor theorem to decide whether or not the second polynomial is a factor of the first.
-$2 x ^ { 2 } - 2 x + 60 ; x - 5$
A) Yes
B) No

Question

Quizplus · Accepted Answer

The factor theorem states that $x - c$ is a factor of a polynomial if and only if the polynomial evaluates to zero at $x = c$. Substituting $x = 5$ into $2x^2 - 2x + 60$ gives $2(5)^2 - 2(5) + 60 = 50 - 10 + 60 = 100$, which is not zero. Therefore, $x - 5$ is not a factor.

Use the Factor Theorem to Decide Whether or Not the Second