Calculation

The arithmetic operation division is inverse of the arithmetic operation multiplication.

\(\frac{p}{q} -: \frac{r}{s} = \frac{p}{q} \cdot \frac{s}{r}\)

If p, q, r, and s are well defined polynomials, then the above result is true for polynomials.

For polynomial p, q, r, and s such that \(q \neq 0, r \neq 0 and s \neq 0, \frac{p}{q} -: \frac{r}{s} = \frac{ps}{qr}\)

Conclusion: The polynomials p, q, r, and s such that \(q \neq 0, r \neq 0 and s \neq 0, \frac{p}{q} -: \frac{r}{s} = \frac{ps}{qr}\)