Before you study type of polynomials, you are advised to read:
Define Terms ?
Define like Terms ?
Define Unlike Terms ?
Zero Polynomial - If in a given polynomial all the coefficients are zero then it is known as the zero polynomial
Example : 0 + 03 - 0
Monomial - An algebraic expression which contains only one term is known as Monomial
Or we can also say that:
An expression which contains any number of like terms is known as Monomial
Example : 2x, 3x2, 4t, 9p, 9pq, 21x2y all are monomial because all contains only one term.
Example : 2x + 3x + 4x this is also a monomial because all are like terms.
On adding these like terms we get 9x.
And since 9x have only one term, so its called as monomial.
Binomial - An algebraic expression which contains two unlike terms is known as Binomial
Example : 2x + 3x2 is a Binomial, because it contains two unlike terms i.e. 2x and 3x2
Example : 9pq + 11p2q is a Binomial, because it contains two unlike terms i.e. 9pq and 11p2q
Trinomial - An algebraic expression which contains three unlike terms is known as Trinomial
Example : 2x + 3x2 - 5x3 is a Trinomial, because it contains three unlike terms i.e. 2x, 3x2 and 5x3
Example : 12pq + 3x2 - 11 is a Trinomial, because it contains three unlike terms i.e. 12pq, 3x2 and 11
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