Problem 66 of 7
Factor by grouping to reveal zeros for x^3+6x^2-x-6=0.
Hints
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identify common binomial factor.
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Expression must be groupable and at least one real zero must be revealed.
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Solution
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1. Group terms to create a common factor.
2. Factor fully enough to reveal linear factors.
3. Set linear factors equal to zero.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Zeros from nonreal factors when real zeros are requested.