Problem 35 of 7
Find missing roots given degree and known roots degree 4 real polynomial with root 1+i (multiplicity 2).
Using a hint is okay. It just tells the trainer to give you a little more review.
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account for conjugate pairs and multiplicity.
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Use degree count, known multiplicities, and conjugate root theorem for real coefficients.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Count known roots with multiplicity.
2. Apply conjugate-pair requirement for nonreal roots of real polynomials.
3. Compare to degree to identify forced or remaining roots.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Inventing roots beyond what degree and conjugacy force.