Part 2 of 2 , Given polynomials \( p, q, r \), and \( s \) such that \( q \neq 0, r \neq 0 \), and \( s \neq 0, \frac{p}{q} \div \frac{r}{s}= \) ?
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To solve \(\frac{p}{q} \div \frac{r}{s}\), we can rewrite the division of fractions as multiplication by the reciprocal. This means we can express it as \(\frac{p}{q} \times \frac{s}{r}\). By multiplying the numerators and the denominators together, we get: \[ \frac{p \cdot s}{q \cdot r} \] This is your final result, and it combines all the elements in a neat and simplified fraction! Now, while dealing with polynomials, remember that you can often factor them for simplification before performing operations. Common mistakes include forgetting to check for common factors or cancellations when multiplying or dividing. Always double-check your work for any simplifications!