Short Answer

Technical Manual Verification: Formula Factoring

As a Logistics Analyst, you are auditing the 'Standard Operating Procedures' (SOP) manual for the company's automated inventory tracking system. The manual describes the simplification of the Resource Efficiency Formula: 9x2x2+11x+30x2363x2\frac{9x^2}{x^2 + 11x + 30} \cdot \frac{x^2 - 36}{3x^2}. To verify that the manual's simplification steps are correct, you must identify the correct factoring for the first denominator. Based on the standard procedure, what is the factored form of the trinomial x2+11x+30x^2 + 11x + 30?

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Updated 2026-05-25

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