Exercise 2.

Use long polynomial division to rewrite

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Answer.

The divisor divides evenly into the numerator. The answer is:

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or after multiplying both sides by (x-1):

displaymath69

Solution.

Divide the leading term tex2html_wrap_inline90 of the numerator polynomial by the leading term x of the divisor:

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Multiply "back": tex2html_wrap_inline94 , and subtract:

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Divide the leading term tex2html_wrap_inline96 of the bottom polynomial by the leading term x of the divisor:

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Multiply back: tex2html_wrap_inline100 , and subtract:

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One more step! Divide again:

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Multiply "back", and subtract:

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The divisor divides evenly into the numerator. The answer is:

displaymath68

or after multiplying both sides by (x-1):

displaymath69

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Helmut Knaust
Fri Jun 6 13:11:33 MDT 1997

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