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# The missing terms for the given polynomal 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}

Question
Polynomial arithmetic
asked 2020-11-16
The missing terms for the given polynomal p, q, r, and s such that
$$q \neq 0, r \neq 0 and s \neq 0, \frac{p}{q} -: \frac{r}{s} = \frac{ps}{qr}$$

## Answers (1)

2020-11-17
Given polynomial p, q, r, and s such that $$q \neq 0, r \neq 0 and s \neq 0, \frac{p}{q} -: \frac{r}{s} = ?$$
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 $$q \neq 0, r \neq 0 and s \neq 0, \frac{p}{q} -: \frac{r}{s} = \frac{ps}{qr}$$

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