Find the Real Zeros of the Function $$f ( x ) = 2 ( x + 1 ) ^ { 2 } + 15 ( x + 1 ) + 25$$

question 112

Multiple Choice

Find the real zeros of the function. List the x-intercepts of the graph of the function.
- $$f ( x ) = 2 ( x + 1 ) ^ { 2 } + 15 ( x + 1 ) + 25$$

• A) \(x = - \frac { 7 } { 2 } , x = - 6\)
• B) \(x = - \frac { 7 } { 4 } , x = - 5\)
• C)\(x = - \frac { 5 } { 2 } , x = - 6\)
• D) \(x = 2 , x = 4\)

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Definitions:

Untested Models

Hypothetical or proposed frameworks that have not been validated through experimentation or real-world application.

Biological Model

A representation of a biological process or system, often using mathematical equations or computer simulations, to study complex phenomena in biology.

Positive Feedback Loop

A process where the output of a system amplifies the initial condition, leading to an even greater output in a self-reinforcing cycle.

Negative Feedback Loop

A regulatory mechanism in which a system responds in a way that reverses the direction of a change, helping to maintain stability or equilibrium.