Question: Let f (x) be a polynomial function with a zero of multiplicity of 1 at 4 and a zero of multiplicity of 2 at 1.

 Let f (x) be a polynomial function with a zero of

Let f (x) be a polynomial function with a zero of multiplicity of 1 at 4 and a zero of multiplicity of 2 at 1. Let g(x) be the radical function g(x) = /x - 4. Part A: Using the Factor Theorem, determine the polynomial function f (x) in expanded form. Show all necessary calculations. (5 points) Part B: Let h (x) be the piecewise defined function of h (X) = f ( x) if x

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