The polynomial of degree 4, P ( x ) , has a root with multiplicity 2 at x = 1 and roots with multiplicity 1 at x = 0 and x = − 2 . Given that P ( x ) goes through the point ( 5 , 280 ) , find a formula for 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 4, P ( x ) , has a root with multiplicity 2 at x = 1 and roots with multiplicity 1 at x = 0 and x = − 2 . Given that P ( x ) goes through the point ( 5 , 280 ) , find a formula for P ( x ) .

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