19) Using Rational Root Theorem and Descartes' Rule of signs. Types of Positive Negative Imaginary Roots Roots (Pairs) 3 Find all roots of f(x)=x³ - 2x² - 5x + 6. Roots What are the factors of the constant term? p= ± Possibility 1: Factors of the teading Coefficient term? Possibility 2: q= ± Rational Roots All possible rational roots + (Remainder) Descartes' Rule Find sign changes. Make reduced Poly x³ - 2x²-5x + 6 Positive = (-x)³ -2(-x)² - 5(-x) + 6 Negative = Factor or Solve Roots X =
19) Using Rational Root Theorem and Descartes' Rule of signs. Types of Positive Negative Imaginary Roots Roots (Pairs) 3 Find all roots of f(x)=x³ - 2x² - 5x + 6. Roots What are the factors of the constant term? p= ± Possibility 1: Factors of the teading Coefficient term? Possibility 2: q= ± Rational Roots All possible rational roots + (Remainder) Descartes' Rule Find sign changes. Make reduced Poly x³ - 2x²-5x + 6 Positive = (-x)³ -2(-x)² - 5(-x) + 6 Negative = Factor or Solve Roots X =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 17E
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