# 5.4 Dividing polynomials  (Page 5/6)

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Division Algorithm

given a polynomial dividend   f ( x )   and a non-zero polynomial divisor   d ( x )   where the degree of   d ( x )   is less than or equal to the degree of   f ( x ) , there exist unique polynomials   q ( x )   and   r ( x )   such that   f ( x ) = d ( x ) q ( x ) + r ( x )   where   q ( x )   is the quotient and   r ( x )   is the remainder. The remainder is either equal to zero or has degree strictly less than   d ( x ) .

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how do I set up the problem?
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