- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- MS Excel
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP
- Physics
- Chemistry
- Biology
- Mathematics
- English
- Economics
- Psychology
- Social Studies
- Fashion Studies
- Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
Give examples of polynomials $p(x), g(x), q(x)$ and $r(x)$, which satisfy the division algorithm and deg $q(x) =$ deg $r(x)$
Given:
deg $q(x) =$ deg $r(x)$
To do:
We have to give examples of polynomials $p(x), g(x), q(x)$ and $r(x)$, which satisfy the division algorithm and deg $q(x) =$ deg $r(x)$
Solution:
$p(x), g(x), q(x), r(x)$
deg $q(x) =$ deg $r(x)$
This is possible when
deg of both $q(x)$ and $r(x)$ are less than $p(x)$ and $g(x)$.
$p(x) = x^3+ x^2 + x + 1$
$g(x) = x^2 - 1$
$q(x) = x + 1$
$r(x) = x + 2$
Advertisements
To Continue Learning Please Login
Login with Google