An inventory analyst uses the expression $-6a^2 + 36a$ to model the depreciation of certain assets over time. To simplify the model, the analyst needs to factor the expression by extracting the greatest common factor, including the negative leading coefficient and the variable. Which of the following represents the correctly factored form?

A production manager is simplifying the expression -6a^2 + 36a to analyze efficiency losses. When factoring this expression by extracting the greatest common factor (including the negative leading coefficient and the variable), the GCF that must be extracted is ____.

A logistics coordinator is simplifying a shipping cost formula represented by $-6a^2 + 36a$ to analyze delivery variables. To do this, they must factor the expression by extracting the negative greatest common factor (GCF). Arrange the steps in the correct order to complete the factoring process.

A production manager is simplifying the expression $-6a^2 + 36a$ to analyze efficiency losses. True or False: When the greatest common factor $-6a$ is extracted, the correctly factored form is $-6a(a + 6)$.

An inventory manager is using the mathematical model $-6a^2 + 36a$ to represent the change in warehouse stock over several months. To make the model easier to work with, they factor the expression by extracting the negative greatest common factor. Match each component of the factoring process with its corresponding value.

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An operations manager is using the algebraic expression $-6a^2 + 36a$ to model the efficiency of a production line. According to the standard factoring procedure, if the manager extracts the greatest common factor $-6a$, what constant term remains inside the parentheses to replace the original $+36a$?

An operations supervisor is using the expression $-6a^2 + 36a$ to model the efficiency of a production line. To factor this expression, the supervisor must first identify the variable component of the greatest common factor (GCF). Which rule should the supervisor recall to choose the correct power of 'a' for the GCF?