Answered: The polynomial of degree 5, P(x)P(x)…

The polynomial of degree 5, P(x)P(x) has leading coefficient 1, has roots of multiplicity 2 at x=3x=3 and x=0x=0, and a root of multiplicity 1 at x=−1x=-1 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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Question

The polynomial of degree 5, P(x)P(x) has leading coefficient 1, has roots of multiplicity 2 at x=3x=3 and x=0x=0, and a root of multiplicity 1 at x=−1x=-1
Find a possible formula for P(x)P(x).

Expert Solution

Step 1

We know that if we multiply all the factors of p(x) together we will get a possible formula for p(x).

Root multiplicity means the number of times the root has been repeated.

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