Answered: Find the equation for a polynomial…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Related questions

Question

4. Find the equation for a polynomial function in factored form with zeroes at x=-1 order 3 and at x=1 order 2 and the graph passes through (-2, 18). (5)

Expert Solution

Step 1: Introduction

We have to find the equation for a polynomial function in factored form with zeroes at x=-1 order 3 and at x=1 order 2 and the graph passes through (-2, 18).

We know that

Polynomial function is of the form

$p open parentheses x close parentheses equals a subscript n x to the power of n plus a subscript n minus 1 end subscript x to the power of n minus 1 end exponent plus times times times times plus a subscript 1 x plus a subscript 0$

Where $a subscript n space comma space a subscript n minus 1 end subscript space comma times times times times comma space a subscript 1 space comma space a subscript 0$ are constants.