Learn what is a **polynomial and types of polynomials.** An algebraic expression which consists of variables and which has non-negative integral powers, then that algebraic expression is called a polynomial. In polynomial “poly” means many. So any algebraic expression which has variable power as non-negative integers. This means the power of polynomial maybe 0 or 1 or 2 or 3 and so on.

Basically, an algebraic expression with one or more terms is called **polynomial**. So if there is only one term then it is also a polynomial. Based on terms we have different names for polynomials that I will discuss in types of polynomials.

The below given are polynomials:

3x^{2} + 7y, 8x, 4y^{6} and 12x^{4}-67y^{9}.

All the above examples are with non-negative integral powers so they are called **polynomials**.

Note:

If there is only a constant then it is called constant polynomial. Remember that degree of any constant polynomial is always equals to 1.

The below given are *not polynomials*:

7x^{-5} + 5y- this is not a polynomial as it contains negative power.

4√x -3y – this is not a polynomial as the power is a fraction.

6y + 2/x this is also not a polynomial because the variable is in the denominator that means the power of x is negative.

**Types of Polynomials based on terms:**

Monomial:

If a polynomial contains only one term then it is Monomial.

Example: 3x, -9y^{2}

Binomial:

If a polynomial contains two terms then it is called binomial.

Example: 7y + 8z, 6a^{4} – 2y

Trinomial:

If a polynomial contains three terms then it is called trinomial.

Multinomial:

If a polynomial contains more than three contains then it is called multinomial.

**Types of polynomials based on degrees:**

Linear polynomial:

A polynomial with degree as 1 is called linear *polynomial*.

Example:

2x + 5, 6y-8 …

Quadratic polynomial:

A polynomial with degree as 2 is called quadratic *polynomial*.

Example:

4x^{2} + 7x, 9y^{2}

Cubic polynomial:

A polynomial with degree as 3 is called cubic *polynomial*.

Example:

5y^{3}-2x+7, 3a^{3}+9x,…

Bi quadratic polynomial:

A polynomial with degree as 4 is called bi quadratic *polynomial*.

Example:

6x^{4} -5x+2x, 4x^{4}-7

So this is about **polynomial and types of polynomials.**