State the main idea for the Newton form of the basis?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.2: Trigonometric Equations
Problem 101E
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State the main idea for the Newton form of the basis?

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Step 1

 

Let there is a polynomial.  The polynomials of Newton’s basis are defined as:

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Step 2

The above defined values e1, e2, …, en are defined as the basis of the space of polynomials of degree at most equal to n.

 

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