In Problems 17–22, find a polynomial function f with real coefficients having the given degree and zeros. Answers will vary depending on the choice of leading coefficient. 17. Degree 4; zeros: 3 + 2i; 4, multiplicity 2 18. Degree 4; zeros: i, 1 + 2i 19. Degree 5; zeros: 2; - i; 1 + i 20. Degree 6; zeros: i, 4 - i; 2 + i 21. Degree 4; zeros: 3, multiplicity 2; - i 22. Degree 5; zeros: 1, multiplicity 3; 1 + i

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...
icon
Related questions
Question

In Problems 17–22, find a polynomial function f with real coefficients having the given degree and zeros. Answers will vary depending on
the choice of leading coefficient.

17. Degree 4; zeros: 3 + 2i; 4, multiplicity 2

18. Degree 4; zeros: i, 1 + 2i

19. Degree 5; zeros: 2; - i; 1 + i

20. Degree 6; zeros: i, 4 - i; 2 + i

21. Degree 4; zeros: 3, multiplicity 2; - i

22. Degree 5; zeros: 1, multiplicity 3; 1 + i

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Roots
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning