Exercise 5.

Factor the polynomial tex2html_wrap_inline28 completely.

Solution.

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

displaymath30

and then use formula (6) to obtain:

displaymath31

The factorization is complete, since the polynomial

displaymath32

is irreducible; here is its graph:

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Helmut Knaust
Fri Jun 20 12:40:54 MDT 1997

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