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Chapter 5: Q. 2 (page 494)

What it means for a rational function to be improper ?

Short Answer

Expert verified

A Rational function is improper when the degree of denominator function is less than or equal to degree of numerator function.

Step by step solution

01

Step 1. Defination

A Rational function Qxwhich is ratio of two polynomial function localid="1651835937616" PxandRx such thatQx=PxRxwhere R(x)鈮�0 is called improper if the degree of polynomial function of denominator i.e.Rx is less than the or equal to degree of the polynomial function in numerator i.e.Px

02

Step 2. Example

Example of rational function which is improper is Qx=4x4+73x-1

WhereP(x)=4x4+7andR(x)=3x-1.

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