A project manager is reviewing a cost-projection formula represented by the polynomial ${}-4x^2 + 12x$. When factoring the greatest common factor (GCF) from this expression, what is the standard algebraic rule to follow because the leading coefficient is negative?

A logistics coordinator is simplifying a shipping cost expression represented by the polynomial ${}-15x^2 + 45x$. True or False: According to standard algebraic factoring rules, because the leading coefficient of this expression is negative, the coordinator should factor out a negative greatest common factor (GCF).

A facilities manager is analyzing an equipment depreciation model represented by the polynomial ${}-4x^2 + 12x$. To prepare the expression for further simplification, match each algebraic condition or action with its corresponding rule or result.

Factoring Rules for Negative Leading Terms

An inventory analyst is simplifying a cost-reduction formula, such as ${}-5x^2 + 15x$, which begins with a negative leading coefficient. When they factor out a negative greatest common factor (GCF) from the polynomial, the ________ of all the remaining terms inside the parentheses are reversed.