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}

Question

The missing terms for the given polynomal p, q, r, and s such that

q \neq 0 and s \neq 0, p q \cdot \frac{r}{s} = \frac{p r}{q s}

Answer 1

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

f (x) = \frac{p}{q} and g (x) = \frac{r}{s}

, such that the polynomials q and s are not zero, then the product

f (x) \cdot g (x)

will be a rational function defined

b y \frac{p}{q} \cdot \frac{r}{s}

Thus, for polyn omials p, q, r and s such that

q \neq 0 and s \neq 0, \frac{p}{q} \cdot \frac{r}{s} = \frac{p r}{q s}

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}

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