Theory:

Types of terms
We studied that terms are either variable or numbers or a single number and variables multiplied together. Terms are separated by an algebraic operation like addition, subtraction.
 
The algebraic expression can be a single term or double term or more than two terms. That we can classify the terms based on their expression. That is:
  • Monomial
  • Binomial
  • Trinomial
  • Polynomial
Let's understand to learn this classification individually.
1. Monomial:
 
 An algebraic expression with only one term is called a monomial.
Example:
x,xy,y2x,4ab,10xz,19a3b2c,24xy.
Above all terms are single terms, so it is called a monomial.
2. Binomial :
 
 An algebraic expression with two terms is called binomial.
Example:
2xy+4yz.Here2xyisoneterm,and4yzistheotherterm.Whichmeanstheabovetermsisbinomial.
Further examples are,
 
6y2x8x2y,104ab,10xz+4,19a3+b2c,z224xy.
3. Trinomial :
 
 An algebraic expression with three terms is called a trinomial.
Example:
2xy+4yz6xzHere2xyisoneterm,4yzisthesecondterm,and6xzisthethirdterm.Thisexpressioncontains3terms,soitcalledastrinomial.
Further examples are,
 
6y2x8x2y12z2x104ab+8c10xz+411xy19a3+b2c,z224+xy.
4. Polynomial:
 
 An algebraic expression with one or more than one terms is called a polynomial.
 
All the expression of monomial, binomial and trinomial are called as a polynomial.
Example:
xy2abc2xy+4yz6xz+10xyz6y2x8x2y12z2x+14x2y2z2104ab+8c10xz+411xy19a3+b2c,z224+xy.