Problem

Determine whether the following function is proper or improper: \(f(x) = \frac{x^{2} + 2x + 1}{x^{3} + x^{2} - x - 1}\)

Answer

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Answer

Step 2: If the degree of the denominator is greater than the degree of the numerator, then the function is proper.

Steps

Step 1 :Step 1: Check the degrees of the polynomial in the numerator and denominator. The degree of the numerator is 2 and the degree of the denominator is 3.

Step 2 :Step 2: If the degree of the denominator is greater than the degree of the numerator, then the function is proper.

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