If you were given the dividend which is a polynomial, the quotient, and remainder what would you have to do to find the divisor?

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- Mar 22nd 2011, 04:18 PMDevi09Finding the divisor
If you were given the dividend which is a polynomial, the quotient, and remainder what would you have to do to find the divisor?

- Mar 22nd 2011, 04:31 PMTheEmptySet
Let

$\displaystyle p(x)$ be the dividend

$\displaystyle q(x)$ be the quotient

$\displaystyle r(x)$ be the remainder

$\displaystyle m(x)$ be the divisor

$\displaystyle \displaystyle \frac{p(x)}{m(x)}=q(x)+r(x) \iff \frac{m(x)}{p(x)}=\frac{1}{q(x)+r(x)} \iff m(x)=\frac{p(x)}{q(x)+r(x)}$