### Home > PC3 > Chapter 7 > Lesson 7.2.3 > Problem7-105

7-105.

Identify all of the roots of the polynomial $p(x)=4x^4+6x^3-6x^2-7x+3$.

All of the rational roots will be of the form $\pm\frac{\text{factors of }3}{\text{factors of }4}$.

$x=\frac{−3}{2}$ is a root. Divide the factor $(2x+3)$ out of the polynomial. You should get a remainder of $0$.