College Algebra · Module 8 · Polynomial functions and their graphs

Polynomial Functions Walkthrough

Zoom out until a polynomial looks like its leading term, watch graphs cross, bounce and flatten at their zeros, and watch long and synthetic division happen one column at a time. Then hunt down every zero and build a polynomial from its zeros. Go at your own pace. Nothing here is graded.

Speed

Think of it like this

Quick check

Wrong answers are fine here. Read why, then try again.

Dr. Akash Garg · College Algebra Study Tools · CC BY-NC-SA 4.0
Use the left and right arrow keys to move between steps. Practice next in the Polynomial Functions Lab. On the graphs, teal zeros cross the x-axis, magenta zeros bounce off it and orange zeros cross while flattening; arrowheads at the edges show the end behavior. Animations loop so you can watch them again; use Pause, Replay or Speed under the picture.