Question

For what value of x should you evaluate the polynomial P(x)= 2x^3-x^2-5x-2 to determine if 2x-3 is a factor of p(x)??

Choose one of the Answers: -3/2, 3/2, 2/3, -2/3.
Please help

Answer 1

`(3)/(2)`

Explanation:

If 2x - 3 is a factor of P(x), then 3/2 is a zero of P(x).

`\begin{array}{rcl}2x - 3 & = & 0\\2x & = & 3\\\\x & = & \mathbf{(3)/(2)}\end{array}\\\\\mathbf{P((3)/(2))} \text{ will equal zero if $(2x-3)$ is a factor of $P(x)$}`