Provide an Appropriate Response $5 x - 8 = A ( 3 x - 3 ) + B ( x + 4 )$

question 36

Multiple Choice

Provide an appropriate response.
-Equating the numerators in the process of partial fraction decomposition, your friend has obtained the algebraic expression $5 x - 8 = A ( 3 x - 3 ) + B ( x + 4 )$ . From this equation, what can you say about the original expression?

• A) The denominator of the original expression is \(3 x ^ { 2 } + 9 x - 12\).
• B) The original expression has repeated linear factors in the denominator.
• C) The original expression has a non-reducible quadratic factor in the denominator.
• D) The numerator of the original expression is \(3 x ^ { 2 } + 9 x - 12\).

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