A fleet technician is simplifying a maintenance cost formula represented by the expression ${}10y^2 - 55y + 70$ for a budget report. Arrange the following steps of the 'ac' method in the correct sequence to reach the completely factored form.

A laboratory technician is modeling a chemical reaction rate with the expression ${}10y^2 - 55y + 70$. To simplify the expression, the technician first factors out the Greatest Common Factor (GCF) of 5, resulting in ${}5(2y^2 - 11y + 14)$. When using the 'ac' method to factor the trinomial ${}2y^2 - 11y + 14$, which two numbers should be identified because they multiply to 28 and add to -11?

An environmental engineer is analyzing the flow rate of a waste treatment system. The efficiency of the system is modeled by the quadratic expression ${}10y^2 - 55y + 70$. True or False: To factor this expression completely using the 'ac' method, the first step is to factor out the Greatest Common Factor (GCF) of 5.

Factoring a Load-Bearing Model

A manufacturing quality controller uses the formula ${}10y^2 - 55y + 70$ to determine the acceptable tolerance range for a machined part. To simplify the formula, the controller factors out the Greatest Common Factor (GCF) of 5, resulting in ${}5(2y^2 - 11y + 14)$. In the next step of the 'ac' method, they split the middle term, $-11y$, into $-7y$ and ____.

Standard Operating Procedure: Factoring a Logistics Cost Formula