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1. Discuss the possibilities for the roots to : 2x-5x -6x+4 = 0

1. Discuss the possibilities for the roots to : 2x-5x -6x+4 = 0

Algebra and Trigonometry (MindTap Course List)
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.CR: Chapter Review
Problem 9CC
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PLAD= rootS: 2,2,0 (てメセー)(2-X) -K)d 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 variations of sign of P(-x) or less than that by an even number 1. Discuss the possibilities for the roots to : 2x' -5x -6x+4 = 0 12.3x*-5x - x² - 8x+4 =0 Pl-x) = 3(-x)4 - 5(-x)³-(-x)² 8( htX8tzメ-gxgtnXE-メ-)) P(x):negative roots210,2
Transcribed Image Text:PLAD= rootS: 2,2,0 (てメセー)(2-X) -K)d 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 variations of sign of P(-x) or less than that by an even number 1. Discuss the possibilities for the roots to : 2x' -5x -6x+4 = 0 12.3x*-5x - x² - 8x+4 =0 Pl-x) = 3(-x)4 - 5(-x)³-(-x)² 8( htX8tzメ-gxgtnXE-メ-)) P(x):negative roots210,2
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