f(x)=-3x(x+2)^3(x+4) im stuck on how to find the zeros of the function and their multiplicities

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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f(x)=-3x(x+2)^3(x+4) im stuck on how to find the zeros of the function and their multiplicities

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INTRODUCTION

The multiplicities of a function, or the number of times the function crosses the x-axis, are the values of the function for which it is equal to zero. A function might occasionally have several zeros with the same value. It's crucial to remember that a function's zero multiplicity could also be zero. This indicates that at that location, the function does not cross the x-axis.

Given function:

f(x)=-3x(x+2)2(x+4)

To determine:

The zeros of the function and their multiplicities.

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