Let p be a polynomial of degree n and let S = { x is an element in interval (0,pi/2) | cos(x) = p(x) } How could I apply Rolle's theorem to prove that the number of elements in my set, denoted by |S| can satisfy: |S| < or equal to n+1 Any help is appreciated, thank you.
Let p be a polynomial of degree n and let S = { x is an element in interval (0,pi/2) | cos(x) = p(x) } How could I apply Rolle's theorem to prove that the number of elements in my set, denoted by |S| can satisfy: |S| < or equal to n+1 Any help is appreciated, thank you.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra
Problem 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...
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Let p be a polynomial of degree n and let
S = { x is an element in interval (0,pi/2) | cos(x) = p(x) }
How could I apply Rolle's theorem to prove that the number of elements in my set, denoted by |S| can satisfy:
|S| < or equal to n+1
Any help is appreciated, thank you.
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