/*! 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. 32 find the complex zeros of each p... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 32 (page 215)

find the complex zeros of each polynomial function. Write f in factored form.

f(x)=x4-1

Short Answer

Expert verified

The complex roots of the polynomial arei,-i

Step by step solution

01

Given information

We are given a polynomialf(x)=x4-1

02

Find the roots of the polynomial

We have,

x4-1=0(x2-1)(x2+1)=0[(a2-b2)=(a-b)(a+b)](x-1)(x+1)(x2+1)=0

Now to find complex roots

x2+1=0(x-i)(x+i)=0hencex=iorx=-i

03

Conclusion

The complex roots of the polynomial arei,-i

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

x3+2x2-3x>0

Solve the inequality algebraically.

x4>x2

Solve the given inequality algebraically.

x4>1

In Problems 39鈥�56, find the real zeros of f. Use the real zeros to factor f.

f(x)=2x4+11x3-5x2-43x+35

Find the domain of the rational function.

G(x)=6x+34-x
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Discrete Mathematics

Read Explanation

Statistics

Read Explanation

Geometry

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.