/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 61 In Problems 57鈥� 62, find the r... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 61 (page 210)

In Problems 57鈥� 62, find the real zeros of f. If necessary, round to two decimal places.

f(x)=x3+19.5x2-1021x+1000.5

Short Answer

Expert verified

The real zeros offafter rounding it two decimal places are1,23,and-43.5.

Step by step solution

01

Step 1. Given Information 

The given function isf(x)=x3+19.5x2-1021x+1000.5

We have to find the real zeros and round them to two decimal places.

02

Step 2. Finding the real zeros 

The degree of the polynomial is 3,thus it has three roots.

Since there are noninteger coefficients, the Rational Zeros Theorem doesn't apply.

03

Step 3. Determine the bounds on the zeros of f 

The leading coefficient of f is1 witha2=19.5,a1=-1021,a0=1000.5

04

Step 4. Evaluate the expressions using the formula 

So,

Max,{1,19.5+-1021+1000.5}=Max,{1,2041}=20411+Max,{19.5,-1021,1000.5}=1+1021=1022

The smaller of two numbers, 1022is the bound.

Every real zero of f liesbetween-1022and1022.

05

Step 5. Sketch the graph of the polynomial 

From the graph, we conclude that f appears to have three x-intercepts: 1,23,and-43.5.

And

f(1)=0f(23)=0f(-43.5)=0

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Solve the inequality x2-5x鈮�24. Graph the solution set.

Find the domain of the rational function.

Rx=xx4-1

Find the real zeros of f. Use the real zeros to factor f. f(x)=x4-x3-6x2+4x+8

Find the vertical, horizontal, and oblique asymptotes, if any, of each rational function.

G(x)=x4-1x2-x

Find the real zeros of f. Use the real zeros to factor f.

f(x)=2x3-13x2+24x-9
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.