2) Using Rational Root Theorem and Descartes' Rule of signs. Find all roots of f(x)=D3x° + 2x² - 12x - 8. ypes of Positive Negative Imaginary What are the factors of the constant term? Roots Roots Roots (Pairs) Possiblity 1 Factors of the Leading Coefficient term? Possibility 2 Rational Roots = + All possible rational roots (Remainder) Descartes' Rule Find sign changes. Make reduced Poly 3x + 2x- 12x-8 Factor or Solve Positive = 3(-x) + 2(-x) - 12(-x) - 8 Negative = Roots x =
2) Using Rational Root Theorem and Descartes' Rule of signs. Find all roots of f(x)=D3x° + 2x² - 12x - 8. ypes of Positive Negative Imaginary What are the factors of the constant term? Roots Roots Roots (Pairs) Possiblity 1 Factors of the Leading Coefficient term? Possibility 2 Rational Roots = + All possible rational roots (Remainder) Descartes' Rule Find sign changes. Make reduced Poly 3x + 2x- 12x-8 Factor or Solve Positive = 3(-x) + 2(-x) - 12(-x) - 8 Negative = Roots x =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![2) Using Rational Root Theorem and Descartes' Rule of signs.
Find all roots of f(x)=3x° + 2x² - 12x - 8. ypes of Positive Negative Imaginary
(Pairs)
What are the factors of the constant term?
Roots
Roots
Roots
Possibility 1
Factors of the Leading Coefficient term?
Possibility 2:
Rational Roots = +
All possible rational roots
(Remainder)
Descartes' Rule Find sign changes.
3x + 2x - 12x-8
Make reduced Poly
Factor or Solve
Positive =
3(-x) + 2(-x)² - 12(-x) - 8
Negative =
Roots x =
add speaker notes
DELL
Ce
8.
y
u
k](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F531efa51-3b94-4ad1-b949-2d1876ced927%2F724b173e-d665-4009-8431-3c2d5fb755d8%2F9qojbth_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2) Using Rational Root Theorem and Descartes' Rule of signs.
Find all roots of f(x)=3x° + 2x² - 12x - 8. ypes of Positive Negative Imaginary
(Pairs)
What are the factors of the constant term?
Roots
Roots
Roots
Possibility 1
Factors of the Leading Coefficient term?
Possibility 2:
Rational Roots = +
All possible rational roots
(Remainder)
Descartes' Rule Find sign changes.
3x + 2x - 12x-8
Make reduced Poly
Factor or Solve
Positive =
3(-x) + 2(-x)² - 12(-x) - 8
Negative =
Roots x =
add speaker notes
DELL
Ce
8.
y
u
k
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