Consider the complex-valued polynomial with real coefficients p(x) = x(3+2b)x³ + (4+6b+2b²)x² - (6b² + 8b)x + 8b² Show that p(w) = 0 and hence find all the roots of p(x).
Consider the complex-valued polynomial with real coefficients p(x) = x(3+2b)x³ + (4+6b+2b²)x² - (6b² + 8b)x + 8b² Show that p(w) = 0 and hence find all the roots of p(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.CT: Chapter Test
Problem 9CT
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find the roots it may help to know b =1

Transcribed Image Text:Consider the complex-valued polynomial with real coefficients
p(x) = x(3+2b)x³ + (4+6b+2b²)x² - (6b² + 8b)x + 8b²
Show that p(w) = 0 and hence find all the roots of p(x).
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