An office manager is planning the layout for a new rectangular meeting room with an area represented by the expression $x^2 + 11x + 24$. To determine the lengths of the room's walls, the manager must factor this expression into the form $(x + p)(x + q)$. Which of the following is the correct factored form of the area?

A project coordinator is reviewing a layout for a modular storage zone with an area of $x^2 + 11x + 24$. To verify the dimensions of the modular panels, the coordinator must factor the area expression using a standard strategy. Arrange the following steps in the correct order to complete the factoring process.

A warehouse manager is determining the dimensions of a rectangular storage zone with an area represented by the expression $x^2 + 11x + 24$. If one dimension of the zone is $(x + 3)$ and the other dimension is $(x + p)$, what is the integer value of $p$?

A facility manager is auditing a floor plan for a new rectangular storage zone with an area represented by the expression $x^2 + 11x + 24$. To factor this expression into the form $(x + p)(x + q)$, the manager must identify two integers that multiply to 24 and sum to 11. Match each pair of factors for 24 with the sum they produce to identify the correct dimensions.

A facilities manager is auditing a floor plan for a storage zone with an area represented by the expression $x^2 + 11x + 24$. The manager determines that the dimensions of the zone can be factored into $(x + 3)$ and $(x + 8)$. Is this determination correct?

Facilities Planning Layout Dimensions

Standard Procedure for Factoring Storage Area Quadratic Expressions