Answered: Given a set of n distinct data pairs,…

Given a set of n distinct data pairs, exactly how many interpolating polynomials can be found to pass through these points? Select one: а. n b. n-1 С. 1 d. 0

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 13E

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Concept explainers

Average

In mathematics, everyone must have heard the term average in one place or other. Almost all types of calculation require taking out an average. In everyday life, the term is used for denoting a certain amount that can be said to be a typical quantity for multiple people or objects. In other words, if a group of people possesses a certain object, then the average gives us an idea regarding the quantity of the object possessed by each person. However, this is solely based on mathematical calculation. It is important to note that most people will not strictly have the average value in a group.

Question

Given a set ofn distinct data
pairs, exactly how many
interpolating polynomials can
be found to pass through
these points?
Select one:
а. n
b. n-1
С. 1
d. 0

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