Question

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

Short answer

The given statement is true

Step-by-step solution

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'.