Find All Rational Zeros and Factor F(x) $$f ( x ) = x ^ { 3 } - 6 x ^ { 2 } + 5 x + 12$$

question 119

Multiple Choice

Find all rational zeros and factor f(x) .
- $$f ( x ) = x ^ { 3 } - 6 x ^ { 2 } + 5 x + 12$$

• A) \(5,4 , - 1 ; f ( x ) = ( x - 5 ) ( x - 4 ) ( x + 1 )\)
• B) \(4,3 , - 1 ; f ( x ) = ( x - 4 ) ( x - 3 ) ( x + 1 )\)
• C) \(- 5 , - 4,1 ; f ( x ) = ( x + 5 ) ( x + 4 ) ( x - 1 )\)
• D) \(- 4 , - 3,1 ; f ( x ) = ( x + 4 ) ( x + 3 ) ( x - 1 )\)

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Definitions:

Differential Reinforcement Schedule

A schedule of reinforcement in which a specific number of behaviors must occur within a specified time in order for reinforcement to occur

Variable-Ratio Schedule

A reinforcement schedule in which a response is rewarded after an unpredictable number of responses, leading to a high and steady rate of responding because the exact number varies.

Fixed-Ratio Schedule

A type of reinforcement schedule where a response is reinforced only after a specified number of responses, leading to a high and steady rate of response.

Fixed-interval Schedule

A reinforcement schedule that provides reinforcement for the first response made after a fixed duration of time has passed.