Arithmetic
Arithmetic Progression
Associative Property
Averages
Brackets
Closure Property
Commutative Property
Conversion of Measurement Units
Cube Root
Decimal
Divisibility Principles
Equality
Exponents
Factors
Fractions
Fundamental Operations
H.C.F / G.C.D
Integers
L.C.M
Multiples
Multiplicative Identity
Multiplicative Inverse
Numbers
Percentages
Profit and Loss
Ratio and Proportion
Simple Interest
Square Root
Unitary Method
Algebra
Cartesian System
Order Relation
Polynomials
Probability
Standard Identities & their applications
Transpose
Geometry
Basic Geometrical Terms
Circle
Curves
Angles
Define Line, Line Segment and Rays
Non-Collinear Points
Parallelogram
Rectangle
Rhombus
Square
Three dimensional object
Trapezium
Triangle
Trigonometry
Trigonometry Ratios
Data-Handling
Arithmetic Mean
Frequency Distribution Table
Graphs
Median
Mode
Range

Videos
Solved Problems
Home >> Polynomials >> Types of Polynomials >>

## 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

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

Copyright@2022 Algebraden.com (Math, Algebra & Geometry tutorials for school and home education)