Question

Tell whether the given rational expression is proper of improper. If improper, rewrite it as the sum of a polynomial ad proper rational expression.
(x^3+11)/(x^3-27)

Answer 1

It is improper coz proper rational funx has degree of numerator strictly less than denominator.

Proper form: \[1+\frac{ 38 }{ x^3 - 27 }\]

Answer 2

how did you get the proper form?

Answer 3

Divide x^3 + 11 by x^3 - 27 by long division method/
Now OK??

Answer 4

yes just need to do the math thanks for answering!

Answer 5

yw @flutterflies