Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Find each quotient.

48y2+8y+7÷12y1

Short Answer

Expert verified

The quotient is 4y+1+812y1.

Step by step solution

01

Step 1. Define the concept.

Method of long division is preferably used when the polynomial cannot be factored or if there are no common factors by which to divide.

02

Step 2. Use method of long division.

First divide the first term of the dividend, 48y2, by the first term of the divisor, 12y.

12y14y48y2+8y+748y24y12y+7               48y2÷12y=4yMultiply  12y1  and  4ySubtract.

03

Step 3. Simplify the expression.

To further simplify, divide the first term of the partial dividend, 12y, by the first term of the divisor, 12y. Repeat the process as many times required.

localid="1648066557321" role="math" 12y14y+148y2+8y+748y24y12y+712y-18

Therefore, 48y2+8y+7÷12y1is4y+1with a remainder of 8. This answer can be written as 4y+1+812y1.

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 Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.

Sign-up for free