Introduction To Different Forms Of Polynomial.

 Welcome friends!

                         Today we will see different forms of polynomials. These

forms are more important for the next division methods.

                So let’s have a tour of these forms of polynomial.

Example: write the given polynomial in standard form,                                               x +3x⁵+2x³-6x⁴+4x²+1

Standard form: 3x⁵-6x⁴+2x³+4x²+x+1

Caution: while rearranging the terms you must rearrange “sign of

term, coefficient of term, variable & its exponent” together otherwise 

you may go wrong.

Index Form:

                        Sometimes in Polynomial we may come across the

polynomials which misses some power terms in between then add a 

term with coefficient zero, is called Index form of polynomial. It will be 

better to look an example.

Coefficient form of a polynomial.

                 When the coefficient of given polynomial by considering all

 the missing terms in standard form of polynomial in a bracket by

 separating commas, is called a coefficient form of polynomial.

Lets see by an example:

Another Example:

                 These forms are useful in long division & synthetic division of

 polynomial.

 

Thank you!

          Hope you understand the different form of polynomial.

You may visit also:

Algebra Index

Introduction to Division in Algebra (part 1)