Exercise 4.

Factor the polynomial tex2html_wrap_inline22 completely.

Solution.

We can write the polynomial as a difference of two cubes:

displaymath24

and then use formula (7) to obtain:

displaymath25

The factorization is complete, since tex2html_wrap_inline28 is irreducible; here is its graph:

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Helmut Knaust
Fri Jun 20 12:39:13 MDT 1997

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