Given the following polynomial and table, (A) Show that the graph of p(x) passes through each point

Question:

Given the following polynomial and table,

p(x) = x - 10x + 29x - 17 X y 1 3 3 7 6 13

(A) Show that the graph of p(x) passes through each point in the table.

(B) Is p(x) the interpolating polynomial for this table? If not, what is the interpolating polynomial for this table?

(C) Discuss the relationship between the number of points in a table and the degree of the interpolating polynomial for that table.

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Finite Mathematics For Business Economics Life Sciences And Social Sciences

ISBN: 9780134862620

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

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Question Posted: Jan 02, 2024 01:59 AM

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Given the following polynomial and table, (A) Show that the graph of p(x) passes through each point

Question:

p(x) = x³10x² + 29x - 17 X y 1 3 3 7 6 13

Step by Step Answer:

Now lets replace the provided x values in the polynomial px In the case of 3 x 3 3 3 3 10 3 2 29 34 17 p3 3 3 103 2 293 17 3 27 90 87 17 221 p3 27 90 ...View the full answer

Finite Mathematics For Business Economics Life Sciences And Social Sciences

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