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A polynomial f(x) has the given zeros of 6, -1, and -3. Part A: Using the Factor Theorem, determine the polynomial f (x) in expanded form. Show all necessary calculations. Part B: Divide the polynomial f(x) by (x²-x-2) to create a rational function g(x) in simplest factored form. Determine g(x) and find its slant asymptote. Part C: List all locations and types of discontinuities of the function g(x).

A polynomial f(x) has the given zeros of 6, -1, and -3. Part A: Using the Factor Theorem, determine the polynomial f (x) in expanded form. Show all necessary calculations. Part B: Divide the polynomial f(x) by (x²-x-2) to create a rational function g(x) in simplest factored form. Determine g(x) and find its slant asymptote. Part C: List all locations and types of discontinuities of the function g(x).

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 50E
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A polynomial f (x) has the given zeros of 6, -1, and -3. Part A: Using the Factor Theorem, determine the polynomial f (x) in expanded form. Show all necessary calculations. Part B: Divide the polynomial f (x) by (x²-x-2) to create a rational function g(x) in simplest factored form. Determine g(x) and find its slant asymptote... Part C: List all locations and types of discontinuities of the function g(x).
Transcribed Image Text:A polynomial f (x) has the given zeros of 6, -1, and -3. Part A: Using the Factor Theorem, determine the polynomial f (x) in expanded form. Show all necessary calculations. Part B: Divide the polynomial f (x) by (x²-x-2) to create a rational function g(x) in simplest factored form. Determine g(x) and find its slant asymptote... Part C: List all locations and types of discontinuities of the function g(x).
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