### Home > PC3 > Chapter 12 > Lesson 12.1.4 > Problem12-63

12-63.

Sketch the graph of $p(x) = −(x + 55)(x + 30)^2(x)^3(x − 35)$ without using a graphing calculator. Do not scale your axes, but be sure to label the important points.

This is a $7^{\text{th}}$ degree polynomial with roots of $x = −55, −30, 0,$ and $35$.
Be sure you sketch reflects the double and triple roots, as well as the effect of the negative leading coefficient.