How to Arrange Order of Polynomials?

Polynomial can be defined as expression obtained by joining variable, constant and exponent values. For example: 3p² + 4p – 8p3 = 0. Now we will see how to arrange order of Polynomials. Expression written in form of psn is said to be monomial in ‘s’, here value of ‘p’ is unknown, ‘s’ is a variable and ‘n’ is non – negative Integer. For example: 9p³ is a monomial in 'p' of degree 3 and number 9 is the coefficient of p³. If we have 2 monomials in a polynomial function then it is known as binomial. In same way sum of three monomials is known as trinomial. For Example: 8p² + 4p is a binomial and 3p⁴ – 2p² + 6 is a trinomial. Now we will see polynomials in descending order.

We need to see some steps to arrange polynomials in descending order.
Step 1: Convert the polynomial into general form.

Step 2: Arrange the terms according to powers.

For example: 4p⁵ + 6p⁴ + 9p³ – 3p² + 8p + 4,
If we talk about ascending order then steps are:

Step 1: Covert the polynomial into general form.

Step 2: Now arrange the terms according to powers, here term with smallest exponent comes first.
For example: 4p⁵ + 6p⁴ + 9p³ – 3p² + 8p + 4,
Ascending order –> 4 + 8p – 3p² + 9p³ + 6p⁴ + 4p⁵, this is how we arrange values in ascending order.