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

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

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)=3x² + 2x²-12x - 8 Types of Positive Negative Imaginary What are the factors of the constant term? Roots Roots Roots (Pairs) Possibility 1: Factors of the Leading Coefficient term? Possibility 2: Rational Roots=+ All possible rational roots Descartes' Rule Find sign changes. 3x + 2x - 12x-8 (Remainder) Make reduced Poly Factor or Solve Positive = 3(-x)³ + 2(-x)² - 12(-x) - 8 Negative = %3D Roots x = add speaker notes 8.
Transcribed Image Text:2) Using Rational Root Theorem and Descartes' Rule of signs. Find all roots of f(x)=3x² + 2x²-12x - 8 Types of Positive Negative Imaginary What are the factors of the constant term? Roots Roots Roots (Pairs) Possibility 1: Factors of the Leading Coefficient term? Possibility 2: Rational Roots=+ All possible rational roots Descartes' Rule Find sign changes. 3x + 2x - 12x-8 (Remainder) Make reduced Poly Factor or Solve Positive = 3(-x)³ + 2(-x)² - 12(-x) - 8 Negative = %3D Roots x = add speaker notes 8.
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