Finding a Polynomial Function InExercises 71–74, find a cubic polynomialfunction f with real coefficients that has thegiven complex zeros and x-intercept. (Thereare many correct answers.)Complex Zeros x-Intercept71. x = 4 ± 2i (−2, 0)72. x = 3 ± i (1, 0)73. x = 2 ± √5i (2, 0)74. x = −1 ± √3i (−4, 0)

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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Finding a Polynomial Function In
Exercises 71–74, find a cubic polynomial
function f with real coefficients that has the
given complex zeros and x-intercept. (There
are many correct answers.)
Complex Zeros x-Intercept
71. x = 4 ± 2i (−2, 0)
72. x = 3 ± i (1, 0)
73. x = 2 ± √5i (2, 0)
74. x = −1 ± √3i (−4, 0)

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