Question: 1. (a) Prove that all non-zero linear polynomials have at most one real root. {is} Prove that if x} is a. function with n distinct

1. (a) Prove that all non-zero linear polynomials have at most one real root. {is} Prove that if x} is a. function with n distinct real roots, then 9' {1:} must have at least n-l distinct real roots. {e} Use induction to prove that s non-zero polynomial of degree 11 must have at most n distinct real roots

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