Provide an Appropriate Response $\frac { x ^ { 2 } - 11 x + 24 } { \left( x ^ { 2 } - 10 x + 21 \right) ( x + 7 ) }$

Multiple Choice

Provide an appropriate response.
-You are finding the partial fraction decomposition of the expression $\frac { x ^ { 2 } - 11 x + 24 } { \left( x ^ { 2 } - 10 x + 21 \right) ( x + 7 ) }$ . You should ...

A) Solve the equation $x ^ { 2 } - 11 x + 24 = A ( x + 7 ) + B ( x - 3 ) + C ( x + 7 )$
B) Use long division to divide the numerator by the denominator
C) Solve the equation $x ^ { 2 } - 11 x + 24 = A ( x - 7 ) + B ( x - 3 ) + C ( x + 7 )$
D) Solve the equation $x ^ { 2 } - 11 x + 24 = ( A x + B ) \left( x ^ { 2 } - 10 x + 21 \right) + C ( x + 7 )$