Problem 88 of 7
Write a real-coefficient polynomial from complex roots -1, 3+i, 3-i.
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include conjugate pairs and multiply factors.
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For real coefficients, include conjugate pairs for every nonreal root.
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Your answer is equivalent to the expected form.
Solution
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1. Pair each nonreal root with its conjugate.
2. Write linear factors for all roots.
3. Multiply conjugate pairs to form real factors.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Omitting the conjugate of a nonreal root.