Problem 131 of 7
Compare Remainder Theorem and synthetic division results for p(x)=x^2+x+1, divisor x-1, but p(1) is calculated as 1 and synthetic division gives 3.
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verify consistency between methods.
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Both methods must use the same divisor value a.
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Solution
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1. Compute p(a) by evaluation.
2. Compute or inspect synthetic final entry.
3. Compare the two remainders.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Comparing p(a) to the quotient instead of remainder.