/*! 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. 8 Find the remaining zeros of fxwi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 8 (page 215)

Find the remaining zeros of fxwith real coefficients and given information.

The degree is 3 and zeros are4,3+i

Short Answer

Expert verified

The remaining zero of the polynomial is 3-i.

Step by step solution

01

Step 1. Given Information

The polynomial has degree 3 and two zeros are4and3+i.

02

Step 2. Concept

Conjugate Pair Theorem says that if a polynomial with degree nwith real coefficient, has one complex zero of the form a+bithen the polynomial should have the conjugate pair of a+ibthat isa-ib as another zero.

03

Step 3. Explanation

Since fxhas coefficients that are real numbers, complex zeros appear as conjugate pairs.

It follows that 3-i, the conjugate of 3+i, is the remaining zero.

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

Find the bounds to the zeros of each polynomial function. Use the bounds to obtain a complete graph of f.

f(x)=2x3-x2-11x-6

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

f(x)=3x3-7x2+12x-28

One solution of the equation x3+5x2+5x-2=0 is -2.

Find the sum of the remaining solutions.

United Parcel Service has contracted you to design a closed box with a square base that has a volume of 5000cubic inches. See the illustration.

Part (a): Express the surface areaS of the box as a function ofx.

Part (b): Using a graphing utility, graph the function found in part (a).

Part (c): What is the minimum amount of cardboard that can be used to construct the box?

Part (d): What are the dimensions of the box that minimize the surface are?

Part (e): Why might UPS be interested in designing a box that minimizes the surface area?

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

f(x)=x3-8x2+17x-6
See all solutions

Recommended explanations on Math Textbooks

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Mechanics 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.