A logistics analyst is using algebraic formulas to optimize warehouse spacing and must factor polynomials completely to simplify the models. Arrange the three primary steps of the general factoring strategy in the correct sequence.

A production planner at a manufacturing plant is simplifying algebraic expressions used to calculate material waste. To ensure the expressions are factored completely, match each description of a polynomial's structure with the correct factoring method according to the three-step general strategy.

A logistics analyst is simplifying an algebraic formula that represents the total operating cost of several distribution centers: ${}5x^2 + 15x - 20$. According to the general three-step strategy for factoring polynomials, which of the following is the first step the analyst should take to factor this expression completely?

A budget analyst is factoring a binomial expression, $x^2 + 49$, which represents a cost-growth function. True or False: According to the general strategy for factoring polynomials, this 'sum of squares' binomial cannot be factored over the real numbers.

A business analyst is using a polynomial equation to model production costs. According to the general strategy for factoring polynomials, before determining a specific factoring method based on the number of terms, the analyst must first check for and factor out the ____.