1) Using Rational Root Theorem and Descartes' Rule of signs. Types of Positive Negative ,3 Find all roots of f(x)=3x° +5x - 3x -5ots What are the factors of the constant term? Roots Roots Possibility 1: Factors of the Leading Coefficient term? Possibility 2: q= + Rational Roots 1" All possible rational roots

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 18E
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o7 I8 9 10 f11 l121 43
1) Using Rational Root Theorem and Descartes' Rule of signs.
Find all roots of f(x)=3x° +5x-3x -5 oots
Types of Positive Negative Imaginary
(Pairs)
Roots
Roots
What are the factors of the constant term?
Possibility 1:
Factors of the Leading Coefficient term?
Possibility 2:
Rational Roots= +
q= +
All possible rational roots
(Remainder)
Descartes' Rule Find sign changes.
3x + 5x? - 3x-5
Make reduced Poly
Factor or Solve
Positive =
3(-x)³ + 5(-x)² - 3(-x) - 5
Negative =
Roots x =
1 speaker notes
Transcribed Image Text:o7 I8 9 10 f11 l121 43 1) Using Rational Root Theorem and Descartes' Rule of signs. Find all roots of f(x)=3x° +5x-3x -5 oots Types of Positive Negative Imaginary (Pairs) Roots Roots What are the factors of the constant term? Possibility 1: Factors of the Leading Coefficient term? Possibility 2: Rational Roots= + q= + All possible rational roots (Remainder) Descartes' Rule Find sign changes. 3x + 5x? - 3x-5 Make reduced Poly Factor or Solve Positive = 3(-x)³ + 5(-x)² - 3(-x) - 5 Negative = Roots x = 1 speaker notes
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