/*! 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. 483 In the following exercises, use ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q. 483 (page 563)

In the following exercises, use the Remainder Theorem to find the remainder.

f(x)=x3-4x-9It is divided by x+2.

Short Answer

Expert verified

The remainder is -9.

Step by step solution

01

Step 1. Given information.

The given function is:

f(x)=x3-4x-9

Divisor is x+2.

02

Step 2. Determine the remainder using Remainder Theorem.

If the polynomial function f(x)is divided by x-c, then the remainder is f(c).

The divisorx+2can be written as x-(-2). It means c=-2.

Evaluate f(-2)to find the remainder.

f(-2)=(-2)3-4(-2)-9=-8+8-9=-9

03

Step 3. Conclusion.

The remainder is -9.

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

Simplify4x332x54

In the following exercises, multiply the binomials. Use any method.

y-6y-2

In the following exercises, find the product of k鈥�鈭�鈥�62 .

In the following exercises, multiply the binomials. Use any method.

2t-910t+1

In the following exercises, multiply the binomials. Use any method.

q-5q+8
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Mechanics Maths

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.