/*! 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. 31 find the complex zeros of each p... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 31 (page 215)

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

f(x)=x3-1

Short Answer

Expert verified

The complex root of the polynomial are-1+3i2,-1-3i2.

Step by step solution

01

Given information

We are given a polynomialf(x)=x3-1

02

Find the zeros of the polynomial

We get,

x3-1=0(x-1)(x2+x+1)=0

Now we use quadratic formula to find the remaining factors

x=-b卤b2-4ac2ax=-1卤1-42x=-1卤-32x=-1卤3i2

03

Conclusion

The complex roots of the polynomial are-1+3i2,-1-3i2

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

Analyze each polynomial function using Steps 1through 8:

f(x)=x4+x3-3x2-x+2.

Solve the inequality algebraically

(x-1)(x-2)(x-3)鈮�0

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

R(x)=8x2+26x-74x-1

Solve the inequality algebraically.

x4<9x2

In Problems 63鈥�72, find the real solutions of each equation.

2x3+3x2+2x+3=0
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Pure Maths

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.