# Polynomial Roots

This worksheet illustrates how the roots of a polynomial
affect its behavior. Below is a plot of the polynomial

$$p\left(x\right)=\left(x-a\right)\left(x-b\right){x}^{n-2,}$$
where $n$ is the degree of the polynomial
and $a$ and $b$ are two real roots you
can control with the sliders.
Note that when the degree $n$ is greater than
two then zero is always a root of the polynomial.

With the advent of HTML5, Javascript is now ready for prime time
for mathematical applications. There are
new Javascript demos
illustrating how we might use interactive web objects to
help students learn Calculus.