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Secure Take a Test Tiyende (Marak)l Nyirenda https://www.mathxl.com/Student/PlayerTestaspx?test de 154455997&centerwi; yes Spring 2017 BCC Math 1-20965 10-11:50 AM Quiz: Chapter 11 Pre-Test Time Remaining: 01:14:27 Suber This Question: 1 pt 1 of 12 This Quiz: 12 pts. GE Tell whether the given rational expression is proper orimproper lfimproper, rewrite the sum of a polynomial and a proper rational expression it as 9x3 14 9x3-64 Select the correct choice below and fill in any answer boxes within your choice. o improper: 9x 14 A. The expression is 9x -64 O B. The expression is proper. Click to select and enter your answerts). Save for Later Exam Sp 2017 eco... docx

Solution

A rational expression is proper if the degree of the numerator is less than the degree of the denominator, and improper otherwise.

Here degree of the numerator = degree of the denominator = 3

the numerator and denominator are both third-degree polynomials, so the rational function is improper.

Given expression is (9x^3 + 14)/(9x^3 - 64)

Simplifying by division, (9x^3 + 14)/(9x^3 - 64) = 1 + [78/(9x^3 - 64)]