Provide an appropriate response.
-You are finding the partial fraction decomposition of the expression $\frac { x ^ { 3 } - 7 x + 12 } { x ^ { 2 } - 13 x + 40 }$.
You should ...
A) Solve the equation $x ^ { 3 } - 7 x + 12 = A ( x - 5 ) + B ( x - 8 )$
B) Solve the equation $x ^ { 3 } - 7 x + 12 = ( A x + B ) \left( x ^ { 2 } - 13 x + 40 \right)$
C) Solve the equation $x ^ { 2 } - 13 x + 40 = ( A x + B ) \left( x ^ { 3 } - 7 x + 12 \right)$
D) Use long division to divide the numerator by the denominator

Question

Quizplus · Accepted Answer

The numerator is of higher degree than the denominator, so you should use long division to simplify the expression before finding the partial fraction decomposition.

Provide an Appropriate Response x3−7x+12x2−13x+40\frac { x ^ { 3 } - 7 x + 12 } { x ^ { 2 } - 13 x + 40 }x2−13x+40x3−7x+12​

Provide an Appropriate Response $\frac { x ^ { 3 } - 7 x + 12 } { x ^ { 2 } - 13 x + 40 }$