Imagine you are a business analyst auditing a financial forecasting algorithm. The system calculates a key performance metric by multiplying a unit margin function $f(x) = x - 5$ with a volume multiplier function $g(x) = x^2 - 2x + 3$. To verify the algorithm's output for quarter number 2, you must evaluate $(f \cdot g)(2)$ using the expanded polynomial method. Arrange the steps in the correct order to reproduce the algorithm's calculation.

Imagine you are a data analyst reviewing a performance model that combines two operational indices: a 'Resource Utilization' function $f(x) = x - 5$ and a 'Capacity Scale' function $g(x) = x^2 - 2x + 3$. The integrated performance index is given by the expanded polynomial $(f \cdot g)(x) = x^3 - 7x^2 + 13x - 15$. Based on this model, what is the integrated index value when the input parameter $x$ is 2?

A technical analyst is auditing a Resource Efficiency Model defined by the expanded polynomial $(f \cdot g)(x) = x^3 - 7x^2 + 13x - 15$. To verify the model's accuracy for a complexity level of $x = 2$, match each mathematical component of the evaluation with its simplified numeric contribution to the total index.

A quality assurance analyst is verifying a cost-projection model that uses the integrated polynomial $(f \cdot g)(x) = x^3 - 7x^2 + 13x - 15$. The analyst determines that when the input factor $x$ is set to 2, the model correctly calculates a cost index of -9.

A project manager is using a resource efficiency model defined by the expanded polynomial $(f \cdot g)(x) = x^3 - 7x^2 + 13x - 15$. According to the model's documentation, when the input complexity level $x$ is set to 2, the resulting performance index is ____.