72-74 Real and Non-Real Coefficients So far, we have worked only with polynomials that have real coefficients. These exercises involve polynomials with real and imaginary coefficients. 74. (a) Find the polynomial with real coefficients of the smallest possible degree for which i andi+i are zeros and in which the coefficient of the highest power is 1. (b) Find the polynomial with complex coefficients of the smallest possible degree for which i and 1 + i are zeros and in which the coefficient of the highest power is 1.

72-74 Real and Non-Real Coefficients So far, we have worked only with polynomials that have real coefficients. These exercises involve polynomials with real and imaginary coefficients. 74. (a) Find the polynomial with real coefficients of the smallest possible degree for which i andi+i are zeros and in which the coefficient of the highest power is 1. (b) Find the polynomial with complex coefficients of the smallest possible degree for which i and 1 + i are zeros and in which the coefficient of the highest power is 1.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

72-74 Real and Non-Real Coefficients So far, we have
worked only with polynomials that have real coefficients. These
exercises involve polynomials with real and imaginary
coefficients.
74. (a) Find the polynomial with real coefficients of the smallest
possible degree for which i andi+i are zeros and in
which the coefficient of the highest power is 1.
(b) Find the polynomial with complex coefficients of the
smallest possible degree for which i and 1 + i are zeros
and in which the coefficient of the highest power is 1.

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