### Home > PC3 > Chapter 6 > Lesson 6.2.3 > Problem6-108

6-108.

This problem is a checkpoint for graphs, equations, and roots of polynomial functions.

1. Sketch a graph of the polynomial function $p(x)=(x−4)(x−2)^2(x+3)^2$. Label the intercepts.

2. Write a possible equation of a polynomial function, in factored form with real coefficients, that has roots of $x=−1$, $−1−3i$, and $\sqrt { 3 }$.

3. Determine all of the roots of $p(x)=2x^4−3x^3+2x^2−6x−4$.