Problem 51 of 7
Determine whether x-3 is a factor of p(x)=x^2-9.
Hints
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check whether p(a)=0.
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Use Factor Theorem: x-a is a factor exactly when p(a)=0.
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Solution
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1. Identify a from x-a.
2. Evaluate p(a).
3. Conclude factor only if the value is zero.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Confusing nonzero remainder with a factor.