CONSIDER THE FOLLOWING FUNCTION:  f(x) = 5x4 - 7x3 + 5x2 - 2x - 1    Find the quotient when f(x) is divided by (x-1)    Find f(1.2) using synthetic division and the remainder theorem   Show that the multiplicity of (x-1) is 1   How many zeros does f(x) have and how do we know that?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 18PT: Given the following information about a polynomial function, find the function. It has a zero of...
Question

CONSIDER THE FOLLOWING FUNCTION: 

f(x) = 5x4 - 7x+ 5x2 - 2x - 1 

 

  • Find the quotient when f(x) is divided by (x-1) 

 

  • Find f(1.2) using synthetic division and the remainder theorem

 

  • Show that the multiplicity of (x-1) is 1

 

  • How many zeros does f(x) have and how do we know that? 
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