Q. 204.2( 5 Votes )

State division algorithm for polynomials.

Answer :

The polynomial long division is an algorithm for dividing a polynomial by another polynomial of the same or lower degree; it is a generalized version of the familiar arithmetic technique called long division. It can be done manually because it separates a complex division problem into smaller ones.


Let’s take the Example:


f(x) and g(x) are two polynomials with,


g(x)≠0,


Now we can find the polynomials p(x) and q(x) such that,


f(x) = p(x) × g(x) × q(x)


Where q(x) = 0 or degree of q(x) < is degree of g(x).


The result is;


Dividend = Quotient × Divisor + Remainder


This is known as the Division Algorithm for polynomials.


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