# Roots & Asymptotes of Polynomials

- Author:
- Judah L Schwartz

*polynomials have real roots In*

**SOME***polynomials, when*

**ALL***polynomials*

**SOME***In*

**positive A***polynomials*

**SOME***Here are some possible categories of polynomials; • polynomials with real roots that are*

**negative A****positive A**• polynomials with

**NO**real roots and are

**positive A**• polynomials with real roots that are

**negative A**• polynomials with

**NO**real roots and are

**negative A**Give an example of a polynomial that fits in each category. Are there polynomials that fit in

**NONE**of these categories? Example, or why not? Are there polynomials that fit in

**MORE THAN ONE**category? Example, or why not? Does every possible polynomial fit into at least one of these categories? Why, or why not?

**What questions could / would you put to your students based on this applet?**.