Hello friends,

Welcome to my article What is degree of polynomial

This article is taken from the simplification lesson, in this article we have been told how to solve the problem easily by doing addition, subtraction, multiplication, division and fractionation.or complete information on how to solve this What is degree of polynomial , read and understand it carefully.

Let us read / understand about this article What is degree of polynomial.

First of all we should write the article on the page of the notebook.

## What is degree of polynomial ?

What is the degree of a polynomial?

Let’s know –

The power of a polynomial is the highest power of the variable in the polynomial expression. To recall, a polynomial is defined as an expression of more than two algebraic terms, specifically the sum (or difference) of several terms having different powers of the same or different variable(s). It is a linear combination of monomials.

For example:

\displaystyle 6{{x}^{4}}~+\text{ }2{{x}^{3}}+\text{ }3OR,

The degree of a polynomial is defined as the highest power of

the variable of its individual terms (i.e. monomials) having non-zero coefficients.

## How to find the power of a polynomial?

A polynomial is merging fixed variables with exponential powers and coefficients.

The steps to find the power of a polynomial are as follows:-

For example, if the expression is:

\displaystyle ~~5{{x}^{5}}~+\text{ }7{{x}^{3}}~+\text{ }2{{x}^{5}}+\text{ }3{{x}^{2}}+\text{ }5\text{ }+\text{ }8x\text{ }+\text{ }4Combine all similar terms that are terms with variable terms.

\displaystyle (5{{x}^{{5~}}}+\text{ }2{{x}^{5}})\text{ }+\text{ }7{{x}^{{3~}}}+\text{ }3{{x}^{2}}+\text{ }8x\text{ }+\text{ }\left( {5\text{ }+4} \right)then ignore all coefficients

\displaystyle {{x}^{5}}+\text{ }{{x}^{3}}+\text{ }{{x}^{2}}+\text{ }{{x}^{1}}~+\text{ }{{x}^{0}}Then arrange the variables in descending order of their powers

\displaystyle {{x}^{5}}+\text{ }{{x}^{3}}+\text{ }{{x}^{2}}+\text{ }{{x}^{1}}~+\text{ }{{x}^{0}}\text{ }Then the greatest power of the variable is the power of the polynomial

Degree \displaystyle (\text{ }{{x}^{5}}+\text{ }{{x}^{3}}+\text{ }{{x}^{2}}+\text{ }{{x}^{1}}~+\text{ }{{x}^{0}})\text{ }=~\mathbf{5} = **5 ANSWER**

This article What is degree of polynomial ? has been completely solved by tireless effort from our side, still if any error remains in it then definitely write us your opinion in the comment box. If you like or understand the methods of solving all the questions in this article, then send it to your friends who are in need.

Note: If you have any such question, then definitely send it by writing in our comment box to get the answer.

Your question will be answered from our side.

Thank you once again from our side for reading or understanding this article completely.