# Questions on Polynomials

This page contains sample problems on polynomial functions. They are for Self-assessment and Review.

Each problem (or group of problems) has an "answer button" which you can click to look at an answer. Some solutions have a "further explanation button" which you can click to see a more complete, detailed solution.

### What to Do

To gain the most benefit from these problems,

Use a graphing calculator as appropriate.

If you have difficulties with this material, please contact your instructor. (See Getting Help in Stage 1.) It will be very difficult to succeed in Calculus without understanding polynomial functions.

1. A polynomial of degree 3

2. A polynomial of degree 5 with exactly 3 terms

3. A polynomial of degree 4 with exactly 4 terms

1. f(x) = -x6+ ax5 + bx4+ cx3+ dx2+ ex + g

2. f(x) = x5 + ax4+ bx3+ cx2+ dx + e

1. g(x) = 3x2 - 7x - 20

2. h(x) = x2 - 4x + 12

3. f(x) = 2x3 + 6x 2 - 20x

4. f(x) =x3 - x2 - 5x + 5

5. p(x) = x3 + 3x2 + 3x + 2.

 Polynomial Functions Field Guide HUB CQ Directory CQ Resources