If P(x)=(x a)2Q(x), where Q(x) is a polynomialand Q(a) = 0, we call x = a a double zero
Chapter 3, Problem 64(choose chapter or problem)
If P(x)=(x a)2Q(x), where Q(x) is a polynomialand Q(a) = 0, we call x = a a double zero of the polynomialP(x).(a) If x = a is a double zero of a polynomial P(x),show that P(a) = P(a)=0.(b) If P(x) is a polynomial and P(a) = P(a)=0,show that x = a is a double zero of P(x).
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