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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

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
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