Tazmin Horton

2021-02-06

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

$q\ne 0\text{}\text{and}\text{}s\ne 0,\text{}pq\cdot \frac{r}{s}=\frac{pr}{qs}$

grbavit

Skilled2021-02-07Added 109 answers

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$f(x)=\frac{p}{q}\text{}\text{and}\text{}g(x)=\frac{r}{s}$ , such that the polynomials q and s are not zero, then the product $f(x)\cdot g(x)$ will be a rational function defined $by\frac{p}{q}\cdot \frac{r}{s}$ Thus, for polyn omials p, q, r and s such that $q\ne 0\text{}\text{and}\text{}s\ne 0,\frac{p}{q}\cdot \frac{r}{s}=\frac{pr}{qs}$

Calculation:

Consider two rational function

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