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The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplicity 2 at = 1 and a = 0, and a root of multiplicity 1 at a = -2. Find a possible formula for P(x). P(x) x²(x-1)²(x+2)

The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplicity 2 at = 1 and a = 0, and a root of multiplicity 1 at a = -2. Find a possible formula for P(x). P(x) x²(x-1)²(x+2)

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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The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplicity 2 at x = 1 and = 0, and a root of multiplicity 1 at a = -2. Find a possible formula for P(™). P(x) = x²(x-1)²(x+2) Question Help: Video
Transcribed Image Text:The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplicity 2 at x = 1 and = 0, and a root of multiplicity 1 at a = -2. Find a possible formula for P(™). P(x) = x²(x-1)²(x+2) Question Help: Video
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