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  • Card 5 / 6:
    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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Source:  OpenStax, Precalculus. OpenStax CNX. Jan 19, 2016 Download for free at https://legacy.cnx.org/content/col11667/1.6
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