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) Using Rational Root Theorem and Descartes' Rule of signs. Types of Positive Negative Imag Find all roots of f(x)= x° + 8. What are the factors of the constant term? Roots Roots Roots (Pairs Possibility 1 Factors of the Leading Coefficient term? Possibility 2 Rational Roots t All possible rational roots q= ± (Remainder) Descartes' Rule Find sign changes. x' + 8 Positive = Make reduced Poly Factor or Solve %3D (-x) + 8 Negative = Roots x = ker notes

) Using Rational Root Theorem and Descartes' Rule of signs. Types of Positive Negative Imag Find all roots of f(x)= x° + 8. What are the factors of the constant term? Roots Roots Roots (Pairs Possibility 1 Factors of the Leading Coefficient term? Possibility 2 Rational Roots t All possible rational roots q= ± (Remainder) Descartes' Rule Find sign changes. x' + 8 Positive = Make reduced Poly Factor or Solve %3D (-x) + 8 Negative = Roots x = ker notes

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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5 6 7 np8. 9 l10 11 12 4) Using Rational Root Theorem and Descartes' Rule of signs. Find all roots of f(x)= x° + 8. What are the factors of the constant term? .3 Types of Positive Negative Imagina Roots Roots Roots (Pairs) Possibility 1: Factors of the Leading Coefficient term? Possibility 2: q= ± All possible rational roots Rational Roots= +" (Remainder) Descartes' Rule Find sign changes. Make reduced Poly x + 8 Factor or Solve Positive = (-x)³ + 8 Negative = %3D Roots x = speaker notes & 6. 7 8
Transcribed Image Text:5 6 7 np8. 9 l10 11 12 4) Using Rational Root Theorem and Descartes' Rule of signs. Find all roots of f(x)= x° + 8. What are the factors of the constant term? .3 Types of Positive Negative Imagina Roots Roots Roots (Pairs) Possibility 1: Factors of the Leading Coefficient term? Possibility 2: q= ± All possible rational roots Rational Roots= +" (Remainder) Descartes' Rule Find sign changes. Make reduced Poly x + 8 Factor or Solve Positive = (-x)³ + 8 Negative = %3D Roots x = speaker notes & 6. 7 8
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