Exercise 3.

Factor the polynomial tex2html_wrap_inline33 completely.

Solution.

We write

displaymath35

then use the formula

displaymath36

with tex2html_wrap_inline43 and tex2html_wrap_inline45 to obtain

displaymath37

The factorization is still not complete. While the polynomial tex2html_wrap_inline47 is an irreducible quadratic polynomial, the polynomial tex2html_wrap_inline49 can be factored, using the same formula again, this time with a=x and tex2html_wrap_inline53 .

So the complete factorization is given by

displaymath38

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Helmut Knaust
Fri Jun 20 12:35:31 MDT 1997

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