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)??

Answer 1

Answer:

$\dfrac{3}{2}$

Step-by-step explanation:

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

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