Types of Polynomials - Zero, Monomial, Binomial, Trinomial

Algebraic Expression	Algebraic Equation	Ordering of Polynomials	Types of Polynomials	Addition of Polynomials
Subtraction of Polynomials	Multiplication of Polynomials	Division of Polynomials	Types of Degree / Powers in Polynomials	Difference between Polynomials of Integers & Rationals
Find Value of Polynomial	Find Zero of Polynomial	Remainder Theorem in Polynomial	Linear Equations	Quadratic Equation
Factoring of Quadratic Polynomials

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 Study More Solved Questions / Examples In each of the following write which polynomials are monomials, binomials, trinomials 1) 2x + 4x 2) 5x + 9x 3) 6x2 + 3x 4) 7x2 + 2x 5) x2 6) u2 7) 9 8) 29 9) 5x2 + 5x 10) 5x3 + 5x 11) 5x3 - 2x 12) 3x3 + 2x + 1 13) 3x3 + 2x2 + 1 14) 4x3 + 3x2 + 2 15) 7x3 + 6x2 + 3 In each of the following write which polynomials are monomials, binomials, trinomials 1) 2x2 + 4x2 + 2x + 4x 2) 5x2 + 9x2 + 5x + 9x 3) 6x2 + 3x2 + 3x 4) 7x2 + 2x2 + 2x 5) x2 + x + 1 6) u2 + u + 1 7) 9 + 1 8) 29 + 2 9) 5x2 + 5x + 2x 10) 5x3 + 5x + 3x 11) 5x3 - 2x + 3 12) 3x3 + 2x + 1 13) 3x3 + 3x3 + 2x2 + 2x2 + 1 14) 4x3 + 4x3 + 3x2 + 3x2 + 2 15) 7x3 + 7x3 + 6x2 + 6x2 + 3