What is an Algebraic Expression:
An algebraic expression is a collection of terms separated by plus (+) or minus (–) sign. For example : 3x + 5y, 7y – 2x, 2x – ay + az, etc.
What is Terms:
The various parts of an algebraic expression that are separated by ‘+’ or ‘–’ sign are called terms.
For example :
Algebraic expression No. of Terms terms
–32x 1 –32x
2x + 3y 2 2x and 3y
ax – 5y + cz 3 ax, –5y and cz
Types of Algebraic Expressions :
(i) Monomial : An algebraic expression having only one term is called a monomial. For ex. 8y, –7xy, 4x2, abx, etc.
The term ‘mono’ means ‘one’ (1).
(ii) Binomial : An algebraic expression having two terms is called a binomial. For ex. 8x + 3y, 8x + 3, 8 + 3y, a + bz, 9 – 4y, 2x2 – 4z, 6y2 – 5y, etc.
‘ bi’ means ‘two’.
(iii) Trinomial : An algebraic expression having three terms is called a trinomial. For ex. ax – 5y + 8z, 3x2 + 4x + 7, 9y2 – 3y + 2x, etc.
‘tri means ‘three’.
(iv) Multinomial : An algebraic expression having two or more terms is called a multinomial.