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

Multiple Choice

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