1) Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 5 − 5i and 2, with 2 a zero of multiplicity 2. R(x) = 2) Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros −8 and 1 + i. Q(x) =

1) Find a polynomial with integer coefficients that satisfies the given conditions. R has degree 4 and zeros 5 − 5i and 2, with 2 a zero of multiplicity 2. R(x) = 2) Find a polynomial with integer coefficients that satisfies the given conditions. Q has degree 3 and zeros −8 and 1 + i. Q(x) =

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

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 45E: 37-46 Finding a Polynomial with Specified Zeros Find a polynomial with integer coefficients that...

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Question

1) Find a polynomial with integer coefficients that satisfies the given conditions.

R has degree 4 and zeros 5 − 5i and 2, with 2 a zero of multiplicity 2.

R(x) =

2) Find a polynomial with integer coefficients that satisfies the given conditions.

Q has degree 3 and zeros

−8

and 1 + i.

Q(x) =

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