Q. 2 - Precalculus Enhanced with Graphing Utilities

Question

True or False The rational expression $\frac{5x^2-1}{x^3+1}$ is proper. 

Step-by-Step Solution

Answer

The given statement is true

Step 1. Given data

The given expression is$\frac{5x^2-1}{x^3+1}$

Step 2. FInd the statement is true or false

Here, the degree of the polynomial in the numerator$=2$

The degree of the polynomial in the denominator$=3$

That is the degree of the polynomial in the numerator less than the degree of the polynomial in the denominator.

Therefore, the given rational expression $\frac{5x^2-1}{x^3+1}$ is proper.

Hence the given statement is 'True'.