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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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**Problem Statement:**

Find all the real zeros of \( p(x) = x^3 + 2x^2 - 5x - 10 \).

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In this exercise, we are tasked with finding all the real roots of the polynomial function \( p(x) = x^3 + 2x^2 - 5x - 10 \). A zero of a polynomial function \( p(x) \) is a value \( x \) for which \( p(x) = 0 \). 

Solving for the roots of this cubic equation involves determining the values of \( x \) such that the polynomial expression equals zero. This can be approached through various algebraic methods such as factoring, synthetic division, or using the Rational Root Theorem. Additionally, numerical methods, graphing, or software tools can be employed to estimate the roots when algebraic manipulation is complicated. 

Please proceed to solve the polynomial either by using these methods or by any mathematical software tools if necessary.
Transcribed Image Text:**Problem Statement:** Find all the real zeros of \( p(x) = x^3 + 2x^2 - 5x - 10 \). --- In this exercise, we are tasked with finding all the real roots of the polynomial function \( p(x) = x^3 + 2x^2 - 5x - 10 \). A zero of a polynomial function \( p(x) \) is a value \( x \) for which \( p(x) = 0 \). Solving for the roots of this cubic equation involves determining the values of \( x \) such that the polynomial expression equals zero. This can be approached through various algebraic methods such as factoring, synthetic division, or using the Rational Root Theorem. Additionally, numerical methods, graphing, or software tools can be employed to estimate the roots when algebraic manipulation is complicated. Please proceed to solve the polynomial either by using these methods or by any mathematical software tools if necessary.
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