Factor the Function Represented by F (X) and Explain How $f ( x ) = x ^ { 2 } - 4 x - 21$

question 158

Multiple Choice

Factor the function represented by f (x) and explain how the factored form relates to the graph of the function. $f ( x ) = x ^ { 2 } - 4 x - 21$

• A) \(f ( x ) = ( x + 3 ) ( x - 7 ) ; x = - 3\) and \(x = 7\) represent the \(y\)-intercepts.
• B) \(f ( x ) = ( x - 3 ) ( x + 7 ) ; x = 3\) and \(x = - 7\) represent the \(x\)-intercepts.
• C) \(f ( x ) = ( x - 3 ) ( x + 7 ) ; x = 3\) and \(x = - 7\) represent the \(y\)-intercepts.
• D) \(f ( x ) = ( x + 3 ) ( x - 7 ) ; x = - 3\) and \(x = 7\) represent the \(x\)-intercepts.

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Definitions:

Ligamentum Arteriosum

A small fibrous band that connects the pulmonary artery to the aorta, a remnant of the fetal circulation.

Celiac Trunk

A major artery originating from the abdominal aorta that supplies blood to the stomach, spleen, liver, and other organs of the upper abdomen.

Pulmonary Trunk

A major blood vessel that carries blood from the heart to the lungs for oxygenation.

Abdominal Aorta

The portion of the aorta that passes through the abdomen, supplying blood to the abdominal organs.