The missing terms for the given polynomal p, q, r, and s such that q neq 0 text{and} sneq 0, pq cdot frac{r}{s}=frac{pr}{qs}

The missing terms for the given polynomal p, q, r, and s such that
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Polynomials can be multiplied by applying the distributive property of multiplication over addition and then combining the like terms. The resulting expression is a polynomial of degree equal to sum of the degrees of the two polynomials
Calculation:
Consider two rational function, such that the polynomials q and s are not zero, then the product $f\left(x\right)\cdot g\left(x\right)$ will be a rational function defined $by\frac{p}{q}\cdot \frac{r}{s}$ Thus, for polyn omials p, q, r and s such that