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Please answer part c completely as I need to study. Thanks for your help in advance! You can answer part c only and I'll submit

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Please answer part "c" completely as I need to study. Thanks for your help in advance! You can answer part "c" only and I'll submit it again and again for the other parts.

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(c) Use induction to prove'that a nonzero polynomial of degree n must have at most n distinct real roots

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