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Home >> Polynomials >> Types of Polynomials >>

Types of Polynomials - Zero, Monomial, Binomial, Trinomial

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 Factoring of Quadratic Polynomials Find Value of Polynomial
Find Zero of Polynomial Remainder Theorem in Polynomial

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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