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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?

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?

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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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