2*x*+5=0 if *x*=-5/2; Consequently *f*(*x*) has the root *x*=-5/2, with multiplicity 3.

The polynomial is irreducible; here is its graph again:

Finally, the term , when . Thus *f*(*x*) has the root , with multiplicity 4.

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Tue Jun 10 17:34:08 MDT 1997

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