# Monomials, Binomials and Polynomials

Based on the number of terms of the polynomial they are classified as monomial, binomial, trinomial and so on.

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**Monomial**

A polynomial is said to be a monomial if it contains one term

Eg: Harry is having 7 Roses then it is denoted by 7*x*. Here 7*x* is a monomial

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**Binomial**

A polynomial is said to be a binomial if it contains two terms

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**Example :** Harry is having 9 Roses and 5 jellies then we form a algebraic expression as

9*x* + 5*y*

*x*denotes number of Roses

*y *denotes number of jellies

9*x* + 5*y *is a polynomial which contains two terms.

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**Trinomial**

**Â **A polynomial is said to be a trinomial if it contains three terms.

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**Example :** Harry is having 8 Roses, 6 jellies and 5 chocolate then the algebraic expression is given by 8*x* + 6*y* + 5z.

Here *x* denotes number of roses

*y *denotes number of jellies

*z* denotes number of chocolates.

8*x* + 6*y* + 5*z* is a trinomial which contains three terms.

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**Polynomial**

In general, if the expression contains one or more terms whose coefficient is non-zero then it is called a polynomial.

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**Example :** 4*x* + 4*xy* +17*xz*^{2} - 10 y^{2}z + 19

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**Constant Polynomial**

A polynomial containing one term consisting of a constant is called a constant polynomial. The degree of a constant polynomial is 0.

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**Example :** 8, -6,

Terms of a Polynomial in Ascending or Descending Order

The terms of a polynomial are said to be in ascending or descending order if they increase or decrease in degrees respectively.

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**Example :** Â® Ascending order.

Â® Descending order