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.

---

Definitions:

Intent

The purpose or objective behind someone's actions or a particular design.

Instrumental Aggression

Behavior intended to achieve a goal other than causing pain, often used as a means to an end.

Types of Aggression

Categories or forms of aggressive behavior, often classified by motive or method, such as verbal, physical, reactive, or proactive aggression.

Induction

The process or action of bringing about or giving rise to something.