A production engineer uses the polynomial expression $-10y^4 - 55y^3 - 60y^2$ to model the rate of waste reduction in a manufacturing plant. When factoring this expression completely, what is the greatest common factor (GCF) that should be removed as the first step?

A data center manager uses the polynomial expression $-10y^4 - 55y^3 - 60y^2$ to model energy cost fluctuations over time ($y$). To analyze the model, the manager must factor the expression completely. Match each mathematical component with its corresponding role in the factoring process.

A logistics coordinator uses the polynomial $-10y^4 - 55y^3 - 60y^2$ to model the rate of fuel consumption for a delivery fleet. To simplify the model for a weekly report, the coordinator must factor the expression completely. Arrange the following steps of the factoring process in the correct order as described in the technical manual.

Factoring a Resource Allocation Model

A quality control specialist is verifying the factors $(y + 4)$ and $(2y + 3)$ for a production model represented by the polynomial ${}-10y^4 - 55y^3 - 60y^2$. True or False: These factors are correct because the sum of the inner and outer products, ${}8y$ and ${}3y$, is ${}11y$.

An operations analyst simplifies a cost-projection model represented by the polynomial ${}-10y^4 - 55y^3 - 60y^2$. The analyst factors out the greatest common factor of ${}-5y^2$ and then factors the resulting trinomial into two binomials. If one of the binomial factors is $y + 4$, the other binomial factor is ____.