10.Conjugate Pairs Theorem - P(x)= 0 is a polynomial equation with real coefficients and thecomplex number a+bi (b#0) is a root, then a-bi is also a root.Create a polynomial equation with real coefficients that has 2 and 1-i as roots.Descartes's Rule of Signs - Suppose P(x)=0 is a polynomial equation with real coefficients andwith terms written in descending order.The number of positive real roots of the equation is either equal to the number ofvariations of sign of P(x) or less than that by an even number.The number of negative real roots of the equation is either equal to the number ofhor

Answered: Create a polynomial equation with real…

Math

Algebra

Create a polynomial equation with real coefficients that has 2 and 1-i as roots.

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 73E

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10.
Conjugate Pairs Theorem - P(x)= 0 is a polynomial equation with real coefficients and the
complex number a+bi (b#0) is a root, then a-bi is also a root.
Create a polynomial equation with real coefficients that has 2 and 1-i as roots.
Descartes's Rule of Signs - Suppose P(x)=0 is a polynomial equation with real coefficients and
with terms written in descending order.
The number of positive real roots of the equation is either equal to the number of
variations of sign of P(x) or less than that by an even number.
The number of negative real roots of the equation is either equal to the number of
hor

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