Use synthetic division and the Factor Theorem to determine whether or not $x - 4$ is a factor of $P ( x ) = x ^ { 3 } + 2 x ^ { 2 } - x - 2$ .
A)Yes, $x - 4$ is a factor.
B)No, $x - 4$ is not a factor.

Question

Quizplus · Accepted Answer

To determine if $x - 4$ is a factor of $P(x) = x^3 + 2x^2 - x - 2$, we use synthetic division with $4$ (since $x - 4 = 0$ when $x = 4$). The remainder is not zero, indicating $x - 4$ is not a factor.

Use Synthetic Division and the Factor Theorem to Determine Whether x−4x - 4x−4

Use Synthetic Division and the Factor Theorem to Determine Whether $x - 4$