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
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...
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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
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