Question

Let f (x) be a polynomial function with a zero of multiplicity of 1 at 2 and a zero of multiplicity of 2 at 1. Let g(x) be the radical function g of x equals the cube root of x minus 4 Part A: Using the Factor Theorem, determine the polynomial function f (x) in expanded form. Show all necessary calculations. (5 points)

Answer 1

f(x)=x^3-4x^2+5x-2

Explanation:

This question is a "working backwards" question. They give you the solutions and then you work backwards to find the function that those are the solutions to. Zeros are solutions (also x-intercepts)

"a zero of multiplicity 2" means that that answer was the solution twice. So we put that factor in twice.

Multiply all the factors together to find the function.

see image.