Write down a polynomial with roots *x*=-1, *x*=3, and *x*=0.

Since *x*=-1 is a root of the polynomial *f*(*x*) we are looking for, (*x*-(-1))=(*x*+1) must be a linear factor of *f*(*x*); similarly (*x*-3) and (*x*-0)=*x* will be factors.
So one possible choice for *f*(*x*) is

There a lots of solutions; here are a few more:

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*Helmut Knaust *

Sun Jun 8 13:49:13 MDT 1997

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