Provide an Appropriate Response $6 x - 7 = A ( 3 x - 4 ) + B ( x + 7 ) + C ( x + 7 )$

Multiple Choice

Provide an appropriate response.
-Equating the numerators in the process of partial fraction decomposition, your friend has obtained the algebraic expression $6 x - 7 = A ( 3 x - 4 ) + B ( x + 7 ) + C ( x + 7 )$ . From this equation, what can you say about the original expression?

A) The original expression has a repeating linear factor in the denominator.
B) The original expression has a non-reducible quadratic factor in the denominator.
C) The original expression has a numerator of $( 6 x - 7 ) ( 3 x - 4 ) ( x + 7 ) ( x + 7 )$ .
D) The original expression has the factor $\left( x ^ { 2 } + 7 \right)$ in the denominator.