Find All Rational Zeros and Factor F(x) $$f ( x ) = x ^ { 3 } + 8 x ^ { 2 } - x - 8$$

question 25

Multiple Choice

Find all rational zeros and factor f(x) .
- $$f ( x ) = x ^ { 3 } + 8 x ^ { 2 } - x - 8$$

• A) \(1 , - 1 , - 8 ; f ( x ) = ( x - 1 ) ( x + 1 ) ( x + 8 )\)
• B) \(1 , - 2,10 ; f ( x ) = ( x - 1 ) ( x + 2 ) ( x - 10 )\)
• C) \(1 , - 1,8 ; f ( x ) = ( x - 1 ) ( x + 1 ) ( x - 8 )\)
• D) \(1 , - 1 , - 9 ; f ( x ) = ( x - 1 ) ( x + 1 ) ( x + 9 )\)

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Definitions:

Spontaneous Recovery

The reappearance of a learned response after its apparent extinction, without the need for further conditioning.

Abstract Thinking

The ability to think about objects, principles, and ideas that are not physically present.

Neutral Stimulus

A stimulus that initially produces no specific response other than focusing attention.

Unconditioned Stimulus

A stimulus that naturally and automatically triggers a response without any prior learning.