   Chapter 0.5, Problem 30E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

By any method, determine all possible real solutions of each equation in Exercises 13–30. Check your answers by substitution. x 3 + 2 x 2 + x = 0

To determine

To calculate: The all real solutions in the polynomial equation x3+2x2+x=0.

Explanation

Given Information:

The provided polynomial equation is x3+2x2+x=0.

Formula used:

Zero product rule:

An equation ab=0 is true if and only if a=0 or b=0,

The value of x in the equation ax2+bx+c=0 can be given by the quadratic formula, x=b±b24ac2a where a,b and c are real numbers with a0.

Calculation:

Consider the polynomial equation x3+2x2+x=0.

First determine the single solution in this cubic equation x3+2x2+x=0

Compare the equation x3+2x2+x=0 with the standard cubic equation ax3+bx2+cx+d=0 a=1 and d=0

Therefore, possible factor of 1 is x=±1 and 0 is x=0

First try x=0 substitute in the provided polynomial x3+2x2+x=0,

(0)3+2(0)2+0=?0             0+0+0=?0                     0=0

This is true.

Therefore, x+0 is a factor of the polynomial x3+2x2+x=0.

In order to find other two values of x, divide x3+2x2+x=0 by x+0,

x+0x2+2x+1x3+2x2+x         x3+0x2_                2x2+x               2x2+0x_                        x+0

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find the limit or show that it does not exist. limx1+4x62x3

Single Variable Calculus: Early Transcendentals, Volume I

Solve

Mathematical Applications for the Management, Life, and Social Sciences

Given that for all x, a power series for is:

Study Guide for Stewart's Multivariable Calculus, 8th

The polar form for the graph at the right is:

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 