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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.6: Quadratic Functions
Problem 33E
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6) Using Rational Root Theorem and Descartes' Rule of signs.
Find all roots of f(x)=2x° - x + 2x - 1.
What are the factors of the constant term?
Types of Positive Negative Imaginary
Roots
Roots
Roots
(Pairs)
Possibility 1:
Factors of the Leading Coefficient term?
Possibility 2:
Rational Roots = +
All possible rational roots
(Remainder)
Descartes' Rule Find sign changes.
Make reduced Poly
Factor or Solve
Positive =
Negative
Roots x =
%3D
add speaker notes
&
7
8
u
k
Transcribed Image Text:6) Using Rational Root Theorem and Descartes' Rule of signs. Find all roots of f(x)=2x° - x + 2x - 1. What are the factors of the constant term? Types of Positive Negative Imaginary Roots Roots Roots (Pairs) Possibility 1: Factors of the Leading Coefficient term? Possibility 2: Rational Roots = + All possible rational roots (Remainder) Descartes' Rule Find sign changes. Make reduced Poly Factor or Solve Positive = Negative Roots x = %3D add speaker notes & 7 8 u k
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