1. What does Descartes' Rule of Signs tell you about the number of positive and negative roots of a function? Using Descartes' rule of signs, determine the number of positive and negative roots of the following functions: (a) f(x) = 5x6 - 4x5 + 3x4 – 2x3 + x? – x +6 (b) g(y) = 9y5 – 7y* – 5y3 – 3y2 – y + 10 (c) h(z) = z* – 2z2 + 12z - 8 %3D
1. What does Descartes' Rule of Signs tell you about the number of positive and negative roots of a function? Using Descartes' rule of signs, determine the number of positive and negative roots of the following functions: (a) f(x) = 5x6 - 4x5 + 3x4 – 2x3 + x? – x +6 (b) g(y) = 9y5 – 7y* – 5y3 – 3y2 – y + 10 (c) h(z) = z* – 2z2 + 12z - 8 %3D
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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