Problem 154 of 7
Test possible rational roots using the Remainder Theorem for p(x)=x^3+2x^2-5x-6, candidates 1,-1,2,-2,3,-3.
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evaluate candidates efficiently.
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Evaluate each candidate and identify zero remainders.
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Solution
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1. List candidate rational roots.
2. Evaluate p(a) for each candidate.
3. Select candidates whose remainder is zero.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Accepting candidates that give nonzero remainders.