#polynomialdivision

Polynomials are algebraic expressions with variables and coefficients in them. Polynomials are a type of mathematical dialect. They are used to express numbers in almost every field of mathematics and play an essential role in others, such as calculus.

A polynomial is a sort of algebraic statement in which all variable exponents are whole numbers. Variable exponents in any polynomial must be non-negative integers. A polynomial is made up of constants and variables, where we cannot divide polynomials by variables. 

Polynomials are classified into the following groups based on the number of terms: 

Monomial

A monomial expression has only one term. The single term in an expression must be non-zero for it to be a monomial.

Binomial

A binomial expression has two terms. A binomial is the sum or difference of two or more monomials.

Trinomial

A trinomial expression has three terms.

We utilize the long division approach when a polynomials contains more than one term. The steps are as follows. 

In decreasing sequence, write the polynomial. Examine the greatest power and divide the phrases by it. As the division symbol, use the solution from step 2. Subtract it from the following word and bring it down. Steps 2–4 should be repeated until there are no more words to carry down. It is important to note that the final answer, including the remainder, will be in fraction form (last subtract term).