Tell whether the given rational expression is proper or improper.
-$$\frac { x ^ { 2 } - 12 x + 36 } { \left( x ^ { 2 } - 8 x + 15 \right) ( x + 3 ) }$$
A) Proper
B) Improper

Question

Quizplus · Accepted Answer

A rational expression is proper if the degree of the numerator is less than the degree of the denominator. Here, the numerator has a degree of 2, and the denominator, when fully expanded, will have a degree higher than 2 (specifically, 3), making the expression proper.

Tell Whether the Given Rational Expression Is Proper or Improper x2−12x+36(x2−8x+15)(x+3)\frac { x ^ { 2 } - 12 x + 36 } { \left( x ^ { 2 } - 8 x + 15 \right) ( x + 3 ) }(x2−8x+15)(x+3)x2−12x+36​

Tell Whether the Given Rational Expression Is Proper or Improper $\frac { x ^ { 2 } - 12 x + 36 } { \left( x ^ { 2 } - 8 x + 15 \right) ( x + 3 ) }$