### Home > PC3 > Chapter 4 > Lesson 4.1.3 > Problem4-44

4-44.

Sketch a graph of the polynomial function $p(x)=x(x-3)^3(2x+1)$. State the degree of the polynomial and the end behavior of the function.

Roots:
$x=0$
$x−3=0$
$2x+1=0$

Near the $x$-intercept at $x=3$, the curve should look like a cubic function.