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2) Using Rational Root Theorem and Descartes' Rule of signs. Find all roots of f(x)=D3x° + 2x² - 12x - 8. ypes of Positive Negative Imaginary What are the factors of the constant term? Roots Roots Roots (Pairs) Possiblity 1 Factors of the Leading Coefficient term? Possibility 2 Rational Roots = + All possible rational roots (Remainder) Descartes' Rule Find sign changes. Make reduced Poly 3x + 2x- 12x-8 Factor or Solve Positive = 3(-x) + 2(-x) - 12(-x) - 8 Negative = Roots x =

2) Using Rational Root Theorem and Descartes' Rule of signs. Find all roots of f(x)=D3x° + 2x² - 12x - 8. ypes of Positive Negative Imaginary What are the factors of the constant term? Roots Roots Roots (Pairs) Possiblity 1 Factors of the Leading Coefficient term? Possibility 2 Rational Roots = + All possible rational roots (Remainder) Descartes' Rule Find sign changes. Make reduced Poly 3x + 2x- 12x-8 Factor or Solve Positive = 3(-x) + 2(-x) - 12(-x) - 8 Negative = Roots x =

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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2) Using Rational Root Theorem and Descartes' Rule of signs. Find all roots of f(x)=3x° + 2x² - 12x - 8. ypes of Positive Negative Imaginary (Pairs) What are the factors of the constant term? Roots Roots Roots Possibility 1 Factors of the Leading Coefficient term? Possibility 2: Rational Roots = + All possible rational roots (Remainder) Descartes' Rule Find sign changes. 3x + 2x - 12x-8 Make reduced Poly Factor or Solve Positive = 3(-x) + 2(-x)² - 12(-x) - 8 Negative = Roots x = add speaker notes DELL Ce 8. y u k
Transcribed Image Text:2) Using Rational Root Theorem and Descartes' Rule of signs. Find all roots of f(x)=3x° + 2x² - 12x - 8. ypes of Positive Negative Imaginary (Pairs) What are the factors of the constant term? Roots Roots Roots Possibility 1 Factors of the Leading Coefficient term? Possibility 2: Rational Roots = + All possible rational roots (Remainder) Descartes' Rule Find sign changes. 3x + 2x - 12x-8 Make reduced Poly Factor or Solve Positive = 3(-x) + 2(-x)² - 12(-x) - 8 Negative = Roots x = add speaker notes DELL Ce 8. y u k
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