1) Let P(x) = 2x- 3x' +x-15 a) Explain how Descartes' Rule of Signs is used to determine the possible number of positive and negative real roots of P(x). b) What does it mean to say that a is the lower bound and b is the upper bound for the zeros of a polynomial?

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 37E
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4. Using P(x) =6x+ 3x+
x²+3x +4
%3D
a) Find all possible zeros of P(x) (without testing to see whether they are actually
zeros).
b) Determine the possible number of positive and negative real zeros using Decartes
Rule of signs.
Transcribed Image Text:4. Using P(x) =6x+ 3x+ x²+3x +4 %3D a) Find all possible zeros of P(x) (without testing to see whether they are actually zeros). b) Determine the possible number of positive and negative real zeros using Decartes Rule of signs.
1) Let P(x) = 2x-3x' +x-15
a) Explain how Descartes' Rule of Signs is used to determine the possible number of
positive and negative real roots of P(x).
b) What does it mean to say that a is the lower bound and b is the upper bound for the
zeros of a polynomial?
Transcribed Image Text:1) Let P(x) = 2x-3x' +x-15 a) Explain how Descartes' Rule of Signs is used to determine the possible number of positive and negative real roots of P(x). b) What does it mean to say that a is the lower bound and b is the upper bound for the zeros of a polynomial?
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