Exercise 4.

Factor the polynomial tex2html_wrap_inline40 completely. Note that tex2html_wrap_inline42 and tex2html_wrap_inline44 .

Answer.

displaymath46

Solution.

Since tex2html_wrap_inline42 and tex2html_wrap_inline44 , f(x) will have linear factors of the form tex2html_wrap_inline56 and tex2html_wrap_inline58 .

Consequently, tex2html_wrap_inline60 will divide evenly into f(x). Long polynomial division yields

displaymath48

and thus

eqnarray30

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Helmut Knaust
Sun Jun 8 13:51:17 MDT 1997

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