Let f be defined and continuous on [a,b]. Then for each x E [a,b]there exists a polynomal p(x) such that |p(x) – f(x)| < e for each e > 0.This theorem allows us to:Select one:a. subtract any function f from a polynomial ponb. apply the fundamental theorem of algebra for any polynomial pc. approximate the function f by a Lagrange interpolating polynomial pd. find limits of functions

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Let f be defined and continuous on [a,b]. Then for each x E [a,b] there exists a polynomal p(x) such that |p(x)– f(x)| < e for each e >0. This theorem allows us to:

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter8: Polynomials

Section8.1: Polynomials Over A Ring

Problem 12E: a. Find a nonconstant polynomial in Z4[ x ], if one exists, that is a unit. b. Find a nonconstant...

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Question

Let f be defined and continuous on [a,b]. Then for each x E [a,b]
there exists a polynomal p(x) such that |p(x) – f(x)| < e for each e > 0.
This theorem allows us to:
Select one:
a. subtract any function f from a polynomial p
on
b. apply the fundamental theorem of algebra for any polynomial p
c. approximate the function f by a Lagrange interpolating polynomial p
d. find limits of functions

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