Find the Partial Fraction Decomposition Of $\frac { 2 x ^ { 2 } + 3 x + 6 } { x ^ { 3 } + 3 x ^ { 2 } - 4 x - 12 }$

question 83

Essay

Find the partial fraction decomposition of $\frac { 2 x ^ { 2 } + 3 x + 6 } { x ^ { 3 } + 3 x ^ { 2 } - 4 x - 12 }$ .

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Definitions:

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.

Reinforcement

The process of increasing the likelihood of a behavior by following it with a positive consequence or removing a negative one.

Variable-interval Schedule

A schedule of reinforcement where rewards are given after an unpredictable amount of time has passed, leading to a steady, moderate response rate.