Write a Linear Factorization of the Function $$f ( x ) = x ^ { 4 } + 61 x ^ { 2 } + 900$$

question 483

Multiple Choice

Write a linear factorization of the function.
- $$f ( x ) = x ^ { 4 } + 61 x ^ { 2 } + 900$$

• A) \(f ( x ) = ( x + 30 i ) ^ { 4 }\)
• B) \(f ( x ) = ( x + i ) ( x - i ) ( x + 30 i ) ( x - 30 i )\)
• C) \(f ( x ) = \left( x ^ { 2 } + 30 i \right) \left( x ^ { 2 } - 30 i \right)\)
• D) \(f ( x ) = ( x + 5 i ) ( x - 5 i ) ( x + 6 i ) ( x - 6 i )\)

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Definitions:

Satiety

The feeling of being full or satisfied, typically in the context of eating, which reduces the desire to eat more food.

Drive Reduction

A theory in psychology suggesting that psychological needs create an aroused state that drives an organism to reduce that need by engaging in some goal-directed behavior.

Motivated Behaviors

Actions driven by internal desires and needs, such as hunger or achievement, guiding the organism towards specific goals.

Physiological Needs

Basic physical requirements including air, water, food, shelter, and sleep, necessary for survival.