Problem 115 of 7
Use polynomial division or factoring to find graph features for f(x)=2x^3-x^2-8x+4 given known zero 2.
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factor after known zero.
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Factor after a known zero using synthetic division and quotient analysis.
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Solution
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1. Divide by x minus the known zero.
2. Factor the quotient when possible.
3. Use all real factors to identify zeros and graph behavior.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Stopping at the known zero when remaining quotient factors.