## Monomial:

An Algebraic expression that contains only one term is called a monomial.

**Example: 2x³, 8xy, -5c, -2, etc**

## Binomial:

An Algebraic expression that contains only two terms is called a binomial.

**Example: 2x-3y, l²-m², 2-3y²z, a+b, etc**

## Trinomial:

An Algebraic expression that contains only three terms is called a trinomial.

**Example: x+y+z, 3a²-b²-c, l²m-m²n-n, 3x³-2y²-z,etc**

## How do you remember the names?

## Think about cycles!

## Polynomial:

An algebraic expression that contain finite number of terms with non- zero coefficients is called a polynomial. In other words it is an expression that contains finite number number of terms with combination of variables, whole number exponents of variables and constants.

**Example: a+b+c+d, 7xy, 2x-3y-z, 3x⁵;+4x⁴-5x³-6x²+3x-5,etc**

## Degree of a Polynomial:

The monomials in the polynomials are called the terms. The highest power of the terms is the degree of the polynomial.

The coefficient of the highest power of x in a polynomial is called the Leading Coefficient of the polynomial.

**Example: 2x⁵-x⁴+7x³-6x²+12x-4 is a polynomial in x.**

Here we have six monomials 2x⁵, -x⁴, 7x³, -6x², 12x and -4 which are called the terms of the polynomial.

Degree of the polynomial is 5.

The Leading Coefficient of the polynomial is 2.

## Like terms and Unlike terms:

Like terms contain the same variables having same powers.

Unlike terms contain different variables having different powers.

### Consider the following Expression:

2x²+3x-4 All are unlike terms.

2a²-3a² These are like terms.

### Look at the following expression:

3x, 5x², 2xy, -70x, -7, -3y², -3x², -20yx, 20, 4x, 3y

**We Can list out the Like terms as:**

- 3x, -70x and 4x
- 5x² and -3x²
- 2xy and -20yx
- -7 and 20.