20) Using Rational Root Theorem and Descartes' Rule of signs. 3 Find all roots of f(x)= x³ + 3x² + 5x + 3. Types of Positive Negative Roots Roots 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 ± Descartes' Rule Find sign changes. Make reduced Poly Positive = Negative = notes Factor or Solve Roots x = Imaginary (Pairs) (Remainder)
20) Using Rational Root Theorem and Descartes' Rule of signs. 3 Find all roots of f(x)= x³ + 3x² + 5x + 3. Types of Positive Negative Roots Roots 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 ± Descartes' Rule Find sign changes. Make reduced Poly Positive = Negative = notes Factor or Solve Roots x = Imaginary (Pairs) (Remainder)
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
![20) Using Rational Root Theorem and Descartes' Rule of signs.
Find all roots of f(x)= x³ + 3x² + 5x +3. Types of Positive
Negative
Roots Roots Roots
What are the factors of the constant term?
p= ±
Possibility 1:
Factors of the Leading Coefficient term?
Possibility 2:
q= ±
Rational Roots
All possible rational roots
±
Descartes' Rule Find sign changes.
Make reduced Poly
Factor or Solve
Positive =
Negative =
Roots x =
8
hotes
%
5
y
&
7
U
O
Imaginary
(Pairs)
(Remainder)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1e8d7985-4030-42b3-b3a8-a2d7ee2c53fc%2Ff5eaa3db-53a0-476c-9981-683063f6bfaf%2Fbp1lzlf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:20) Using Rational Root Theorem and Descartes' Rule of signs.
Find all roots of f(x)= x³ + 3x² + 5x +3. Types of Positive
Negative
Roots Roots Roots
What are the factors of the constant term?
p= ±
Possibility 1:
Factors of the Leading Coefficient term?
Possibility 2:
q= ±
Rational Roots
All possible rational roots
±
Descartes' Rule Find sign changes.
Make reduced Poly
Factor or Solve
Positive =
Negative =
Roots x =
8
hotes
%
5
y
&
7
U
O
Imaginary
(Pairs)
(Remainder)
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