Short Answer

Combining Department Expense Models

A corporate financial analyst is calculating the total annual expenses for two merged departments. The first department's projected expenses are modeled by the polynomial (7x24x+5)(7x^2 - 4x + 5) and the second department's by (x27x+3)(x^2 - 7x + 3). What is the fully simplified polynomial that represents the total combined expenses? Briefly list which specific terms must be grouped together to reach this result.

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Updated 2026-05-25

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