The polynomial of degree 5, P(x)P(x) has leading coefficient 1, has roots of multiplicity 2 at x=2x=2 and x=0x=0, and a root of multiplicity 1 at x=−4x=-4  Find a possible formula for P(x)P(x).

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.5: Complex Zeros And The Fundamental Theorem Of Algebra
Problem 3E: A polynomial of degree n I has exactly ____________________zero if a zero of multiplicity m is...
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The polynomial of degree 5, P(x)P(x) has leading coefficient 1, has roots of multiplicity 2 at x=2x=2 and x=0x=0, and a root of multiplicity 1 at x=−4x=-4 
Find a possible formula for P(x)P(x). 

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