/*! 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. 89 What is the remainder when f(x)=... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q. 89 (page 210)

What is the remainder when f(x)=2x20-8x10+x-2is divided byx-1?

Short Answer

Expert verified

The remainder is -7.

Step by step solution

01

Step 1. Concept used

The Remainder Theorem states that if f is a polynomial function and f(x)is divided by x-c, then the remainder is f(c).

02

Step 2. Use the Remainder Theorem

Using the remainder theorem when the function f(x)=2x20-8x10+x-2is divided by x-1then the remainder is given as f(1).

Now the function value is evaluated as

f(1)=2(1)20-8(1)10+1-2f(1)=2-8+1-2f(1)=-7

So the remainder is-7.

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 domain of the rational function.

Hx=3x2+xx2+4

United Parcel Service has contracted you to design a closed box with a square base that has a volume of 10,000cubic inches. See the illustration.

Part (a): Express the surface area S of the box as a function of x.

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?

Use the Factor Theorem to prove that x+c is a factor of

role="math" localid="1646067091231" xn+cn if n鈮�1 is an odd integer

Graph each rational function using transformations.

R(x)=1+2(x-3)2

Find f(-1)if,

f(x)=2x2-x
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision 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.