) Using Rational Root Theorem and Descartes' Rule of signs. Types of Positive Negative Imag Find all roots of f(x)= x° + 8. What are the factors of the constant term? Roots Roots Roots (Pairs Possibility 1 Factors of the Leading Coefficient term? Possibility 2 Rational Roots t All possible rational roots q= ± (Remainder) Descartes' Rule Find sign changes. x' + 8 Positive = Make reduced Poly Factor or Solve %3D (-x) + 8 Negative = Roots x = ker notes

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 22RE
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5 6 7 np8. 9 l10 11 12
4) Using Rational Root Theorem and Descartes' Rule of signs.
Find all roots of f(x)= x° + 8.
What are the factors of the constant term?
.3
Types of Positive Negative Imagina
Roots
Roots
Roots
(Pairs)
Possibility 1:
Factors of the Leading Coefficient term?
Possibility 2:
q= ±
All possible rational roots
Rational Roots= +"
(Remainder)
Descartes' Rule Find sign changes.
Make reduced Poly
x + 8
Factor or Solve
Positive =
(-x)³ + 8
Negative =
%3D
Roots x =
speaker notes
&
6.
7
8
Transcribed Image Text:5 6 7 np8. 9 l10 11 12 4) Using Rational Root Theorem and Descartes' Rule of signs. Find all roots of f(x)= x° + 8. What are the factors of the constant term? .3 Types of Positive Negative Imagina Roots Roots Roots (Pairs) Possibility 1: Factors of the Leading Coefficient term? Possibility 2: q= ± All possible rational roots Rational Roots= +" (Remainder) Descartes' Rule Find sign changes. Make reduced Poly x + 8 Factor or Solve Positive = (-x)³ + 8 Negative = %3D Roots x = speaker notes & 6. 7 8
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