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

7-105.

Identify all of the roots of the polynomial p(x) = 4x4 + 6x3 − 6x2 − 7x + 3. Homework Help ✎

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

x = −3/2 is a root. Divide the factor (2x + 3) out of the polynomial. You should get a remainder of 0.