In a technical drafting project, you are using the expression $(3x + 7)(5x - 2)$ to calculate dimensions. To expand this expression correctly, you must follow the FOIL method. Match each part of the FOIL mnemonic to the specific calculation and result it represents for this expression.

A project manager is calculating the projected revenue for a new service line using the expression $(3x + 7)(5x - 2)$. To find the standard quadratic form of this model, the manager uses the FOIL method. Arrange the following intermediate products and the final result in the correct order as they are generated and simplified during the expansion process.

A project coordinator is using the algebraic expression $(3x + 7)(5x - 2)$ to model the dimensions of a new storage facility. When expanding this expression using the FOIL method, which term is the result of the 'Outer' multiplication step?

A facilities coordinator is calculating the area of a rectangular storage bay represented by the expression $(3x + 7)(5x - 2)$. When expanding this expression using the FOIL method, the 'Inner' multiplication step (multiplying 7 and ${}5x$) results in ${}35x$.

As an inventory management trainee, you are analyzing a warehouse capacity formula modeled by the binomial expression $(3x + 7)(5x - 2)$. To complete the polynomial expansion using the FOIL method, you must determine the product of the 'Last' terms, which results in the constant ____.