solve b and c to Show the, for fo)- y The Bernstein Polynom iall of The Bernstein Poly nom ial of degree n for fe [o]isgiven by (x) = %3D whe re () denote s n!/k! (n-k)! Find Bax) For the function i.) fal- X b.) Sbow that for eech ksn ) = ( (:). %3D k-1 C.) Use pert (b) and the fact, from (ill in 1: 2 ()x (1-"* s for eech n to Show the, for fa= X Bn (X). = () x² + x.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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B3
to Show the, for fo- x
The Bernstein Polynom ial of
solve b and c
degree n for fe [o] isgiven by
%3D
whe re () denotes n! /k!(n-k)!
Find B(x) For the function
6.) Sbow that for eech ksn
(슈) (:).
%3D
k-1
C.) Use
pert (b) and the fact from (ill
in
n-k
1 =
s for eech
to Show the, for fa)= X
Bn (X) = () x² + X.
Transcribed Image Text:to Show the, for fo- x The Bernstein Polynom ial of solve b and c degree n for fe [o] isgiven by %3D whe re () denotes n! /k!(n-k)! Find B(x) For the function 6.) Sbow that for eech ksn (슈) (:). %3D k-1 C.) Use pert (b) and the fact from (ill in n-k 1 = s for eech to Show the, for fa)= X Bn (X) = () x² + X.
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