Let f (x) be a polynomial function with a zero of multiplicity of 1 at 3 and a zero of multiplicity of 2 at 1. Let g(x) be the radical function g(x)-VX-3. Part A: Using the Factor Theorem, determine the polynomial function f(x) in expanded form. Show all necessary calculations. Part B: Let h (x) be the piecewise defined function of h(x) [f(x) if g(x) if x<0 x>0 Are there any breaks in the domain of h (x)? Explain why or why not.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 49E
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Let f (x) be a polynomial function with a zero of multiplicity of 1 at 3 and a zero of multiplicity of 2 at 1. Let g(x) be the radical function g(x)-VX-3.
A: Using the Factor Theorem, determine the polynomial function f(x) in expanded form. Show all necessary calculations.
Part
[f(x) if x<0
g(x) if x20
Part B: Let h (x) be the piecewise defined function of h(x)
Are there any breaks in the domain of h (x)? Explain why or why not.
Transcribed Image Text:Let f (x) be a polynomial function with a zero of multiplicity of 1 at 3 and a zero of multiplicity of 2 at 1. Let g(x) be the radical function g(x)-VX-3. A: Using the Factor Theorem, determine the polynomial function f(x) in expanded form. Show all necessary calculations. Part [f(x) if x<0 g(x) if x20 Part B: Let h (x) be the piecewise defined function of h(x) Are there any breaks in the domain of h (x)? Explain why or why not.
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