Find the 3rd degree interpolating polynomial by Newton's backward formula f(X;) Af(X,) A²f(X,) A³f(X) -1 1 -2 1 -1 2 4

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.3: Factorization In F [x]
Problem 3E: Find all monic irreducible polynomials of degree 2 over Z3.
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Find the 3rd degree interpolating polynomial
by Newton's backward formula
X,
f(X;)
Af(X,)
A²f(X;) A³f(X;)
-1
1
-2
1
-1
4-
Transcribed Image Text:Find the 3rd degree interpolating polynomial by Newton's backward formula X, f(X;) Af(X,) A²f(X;) A³f(X;) -1 1 -2 1 -1 4-
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