A facilities manager is calculating the dimensions of a storage unit where the floor area is represented by the expression $q^2 - 2q - 15$. To factor this expression, which pair of numbers must the manager identify as having a product of -15 and a sum of -2?

A warehouse manager is using the expression $q^2 - 2q - 15$ to model the area of a new storage zone. To factor this expression correctly, match each part of the factoring process to its corresponding value or description.

An urban planner is analyzing a growth model represented by the expression $q^2 - 2q - 15$. True or False: Because the constant term $-15$ is negative, the two numbers used to factor this expression must have opposite signs (one positive and one negative).

An inventory specialist is calculating the dimensions of a storage zone where the floor area is represented by the expression $q^2 - 2q - 15$. To find the side lengths (factors), the specialist must factor this trinomial. Arrange the following steps of the factoring strategy in the correct order.

Factoring Dimensions for Office Layout

A systems analyst is verifying the factored form $(q + 3)(q - 5)$ for a data model represented by the expression $q^2 - 2q - 15$. To confirm the result, the analyst multiplies the binomials to get the intermediate expression $q^2 - 5q + 3q - 15$. The sum of the two middle terms, $-5q$ and $3q$, is ____.

Warehouse Space Optimization Audit

Factoring Procedures for Manufacturing Output Models

A warehouse manager is calculating the dimensions of a new storage bay where the floor area is represented by the expression $q^2 - 2q - 15$. To simplify the inventory layout, the manager needs to identify the correct factored form of this expression. Which of the following represents the correct factored form?

A quality assurance specialist is verifying the factored form $(q + 3)(q - 5)$ for a production model represented by the expression $q^2 - 2q - 15$. Match each part of the multiplication process to the correct intermediate term it produces.