Question Number 1260 by Rasheed Ahmad last updated on 18/Jul/15
$$\mathrm{What}\:\mathrm{is}\:\mathrm{degree}\:\mathrm{of}\:\frac{\mathrm{x}}{\mathrm{y}}\:?\:\left(\mathrm{x}\:\mathrm{and}\:\mathrm{y}\:\mathrm{are}\:\mathrm{both}\:\mathrm{variables}\right) \\ $$$$\mathrm{Is}\:\frac{\mathrm{x}}{\mathrm{y}}\:\:\mathrm{and}\:\mathrm{a}\:\mathrm{constant}\:\mathrm{of}\:\mathrm{same}\:\mathrm{degree}? \\ $$
Commented by prakash jain last updated on 18/Jul/15
$$\mathrm{Degree}\:\mathrm{of}\:\mathrm{rational}\:\mathrm{expression}\:\mathrm{is}\:\mathrm{the}\:\mathrm{degree} \\ $$$$\mathrm{of}\:\mathrm{N}^{\mathrm{r}} \:\mathrm{or}\:\mathrm{D}^{\mathrm{r}} \:\left(\mathrm{higher}\:\mathrm{of}\:\mathrm{the}\:\mathrm{two}\right).\:\mathrm{A}\:\mathrm{constant}\:\mathrm{is}\:\mathrm{of}\:\mathrm{degree}\:\mathrm{0}. \\ $$$$\frac{\mathrm{1}}{{x}}\:\mathrm{is}\:\mathrm{of}\:\mathrm{degree}\:\mathrm{1}. \\ $$
Commented by prakash jain last updated on 18/Jul/15
$$\frac{{x}}{{y}}\:\mathrm{is}\:\mathrm{not}\:\mathrm{a}\:\mathrm{polynomial}.\: \\ $$
Commented by Rasheed Soomro last updated on 18/Jul/15
$${Is}\:{degree}\:{concerned}\:{only}\:{with}\:{polynmial}?\:{Couldn}'{t}\:{I}\:{say}\:\frac{\mathrm{1}}{{x}}\:{is}\:{of} \\ $$$$−\mathrm{1}\:{degree}? \\ $$
Commented by Rasheed Ahmad last updated on 19/Jul/15
$${Thanks}\:{Sir} \\ $$$${I}\:{didn}'{t}\:{know}\:{the}\:{cocept}\:{of}\:{degree} \\ $$$${of}\:{rational}\:{expression}\:{before}\:. \\ $$