Problem 22 of 7
Use the Remainder Theorem for division of p(x)=x^2+x+1 by x.
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state remainder equals p(a).
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For divisor x-a, remainder equals p(a); for x+a, use a=-a.
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Solution
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1. Identify a from the divisor x-a.
2. Evaluate p(a).
3. State that value as the remainder.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Evaluating at the opposite sign.