Short Answer

Factoring Floor Space Dimensions

A facilities planning coordinator is analyzing a modular workspace layout. The total square footage of the space is represented by the algebraic expression q2+10q+24q^2 + 10q + 24. To determine the physical dimensions of the room, the coordinator needs to factor this trinomial into two binomials of the form (q+a)(q+b)(q + a)(q + b).

State the two mathematical conditions that the constant terms aa and bb must satisfy to correctly factor this expression, and name the specific pair of positive integers that meet these conditions.

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Updated 2026-06-02

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