Problem 108 of 7
Use the table of values to identify possible factors: p(-5)=0, p(-1)=0, p(0)=10.
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locate input where output is zero.
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A table input with output zero gives a corresponding linear factor.
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Solution
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1. Find table rows where p(x)=0.
2. Translate each zero x=a into factor x-a.
3. List possible factors.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Factors from merely small or nonzero outputs unless approximate factors are explicitly requested.