Problem 96 of 7
Determine the remainder from rational rewrite (z^3+z^2+2z+1)/(z^2+1)=z+1+z/(z^2+1).
Hints
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connect division remainder to numerator structure.
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The numerator of the proper fraction is the division remainder.
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Solution
Walkthrough
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1. Locate the quotient-plus-fraction form.
2. Identify the numerator over the original divisor.
3. State that numerator as the remainder.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Identifying the quotient as the remainder.