m is a polynomial of degree 5. m has roots of multiplicity 2 at c = 2 and c = 0, a root of multiplicity 1 at C= -5, and m(-1) = -1296. Find the equation for m.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
=
m is a polynomial of degree 5. m has roots of multiplicity 2 at c
c = -5, and m(-1)=1296. Find the equation for m.
2 and c =
0, a root of multiplicity 1 at
Transcribed Image Text:= m is a polynomial of degree 5. m has roots of multiplicity 2 at c c = -5, and m(-1)=1296. Find the equation for m. 2 and c = 0, a root of multiplicity 1 at
Expert Solution
Step 1

Introduction:

 the number of times a given polynomial has a root at a given point is the multiplicity of that root.

To find: Equation of polynomial.

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