Problem 118 of 7
Use the Remainder Theorem to avoid full division for determine if x-3 is a factor of -x^2 + 6x - 9.
Hints
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choose efficient evaluation method.
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Use direct evaluation only for linear divisor x-a.
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Solution
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1. Recognize divisor has form x-a.
2. Identify a.
3. Evaluate p(a) directly.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Full quotient work when only remainder is requested and shortcut applies.