Using the Conjugate Pairs TheoremA polynomial function f of degree 5 whose coefficients are real numbers has thezeros 1, 5i, and 1 + i. Find the remaining two zeros.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.4: Fundamental Theorem Of Algebra And Descartes' Rule Of Signs
Problem 31E: Write a fourth degree polynomial function with real coefficients and the given zeros. i,1i
icon
Related questions
Question

Using the Conjugate Pairs Theorem
A polynomial function f of degree 5 whose coefficients are real numbers has the
zeros 1, 5i, and 1 + i. Find the remaining two zeros.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Ring
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 (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning