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
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
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F93dfc4d7-91c8-4dfa-bec4-022271cb4de9%2F2ecb89d5-7be3-4e08-b9b4-b2bc35b53a5c%2Fsqg8l87_processed.jpeg&w=3840&q=75)
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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