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
Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any category?
(i) $x+y$
(ii) $1000$
(iii) $x + x^2 + x^3 + x^4$
(iv) $7 + a + 5b$
(v) $2b – 3 b^2$
(vi) $2y – 3y^2 +4y^3$
(vii) $5x – 4y + 3x$
(viii) $4a – 15a^2$
(ix) $xy+yz + zt + tx$
(x)$pqr$
(xi) $p^2q + pq^2$
(xii)$2p + 2q$
To do:
We have to classify the given polynomial as monomials, binomials, trinomials.
 Solution:
Monomials: Polynomials having only one term are known as monomials.
Binomials: A binomial is a polynomial that is the sum of two terms.
Trinomial: A trinomial is a polynomial consisting of three terms.
(i) In the given polynomial there are two terms($x,y$).
Therefore, the given polynomial is a binomial.
(ii) In the given polynomial there is one term($1000$).
Therefore, the given polynomial is a monomial.
(iii) In the given polynomial there are four terms($x, x^2, x^3, x^4$).
Therefore, the given polynomial does not fit in any category.
(iv) In the given polynomial there are three terms($7, a, 5b$).
Therefore, the given polynomial is a trinomial.
(v) In the given polynomial there are two terms($2b, - 3b^2$).
Therefore, the given polynomial is a binomial. 
(vi) In the given polynomial there are three terms($2y, - 3y^2, 4y^3$).
Therefore, the given polynomial is a trinomial.  
(vii) In the given polynomial there are three terms($5x, - 4y, 3x$).
Therefore, the given polynomial is a trinomial.  
(viii) In the given polynomial there are two terms($4a, -15a^2$).
Therefore, the given polynomial is a binomial.  
(ix) In the given polynomial there are four terms($xy, yz, zt, tx$).
Therefore, the given polynomial does not fit in any category.
(x) In the given polynomial there is one term($pqr$).
Therefore, the given polynomial is a monomial.
(xi) In the given polynomial there are two terms($p^2q, pq^2$ ).
Therefore, the given polynomial is a binomial.
(xii) In the given polynomial there are two terms($2p, 2 q$ ).
Therefore, the given polynomial is a binomial.
20 Views
To Continue Learning Please Login