Problem 101 of 7
Determine possible root structures for real polynomial degree 7 real polynomial.
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combine degree, real roots, and conjugate pairs.
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Nonreal roots of real polynomials occur in conjugate pairs, and total multiplicity equals degree.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Use degree as total root count with multiplicity.
2. Force nonreal roots into conjugate pairs.
3. List structures consistent with any given real roots.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Odd numbers of nonreal roots for real polynomials.