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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Definitions:

Fine Motor Skills

The coordination of small muscle movements in activities like writing, tying shoelaces, and using tools, often involving the fingers and hands.

Gross Motor Skills

The skills needed to manage the big muscles in the body for actions such as walking, running, sitting, and similar activities.

Macro Motor Skills

Large physical movements and actions that involve the coordination of muscles, such as walking, jumping, or running.

Myelinated

Describes nerve fibers that are covered with myelin, a fatty substance that insulates neurons and speeds up electrical transmission along the nerve.