Roots of Polynomials - Maple Programming Help

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Roots of Polynomials

 Main Concept A polynomial $p\left(x\right)$ has a root, $a$, if $p\left(a\right)=0$. Or equivalently, $x=a$ is a zero or a solution to $p\left(x\right)=0$. When graphing the polynomial, the point $\left(a,p\left(a\right)\right)=\left(a,0\right)$, so roots of polynomials occur at the $x$-intercepts. For a polynomial of degree $k$, there can be at most $k$  roots.

Choose the number of roots the polynomial has and drag the roots around to see how they affect the graph and its equation. Click anywhere on the plot to restore the all the roots to the origin.

 Number of roots    345678

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