In a technical workshop, an apprentice is using the Vertical Method to calculate the product of two polynomial expressions representing material dimensions: $(y - 3)$ and $(y^2 - 5y + 2)$. According to the steps of this method, what is the correct result for the first partial product obtained by multiplying the trinomial by the constant term -3?

In a corporate accounting workshop, a trainee is calculating a cost-projection model represented by the product of $(y - 3)$ and $(y^2 - 5y + 2)$. To ensure a clear and auditable step-by-step record, they must use the Vertical Method. Arrange the following steps in the correct sequence as they are performed in this method.

A supply chain analyst is using the Vertical Method to calculate the product of $(y - 3)$ and $(y^2 - 5y + 2)$ to model material costs. To ensure a clear record for auditing purposes, match each step of the calculation with its corresponding algebraic expression result.

Polynomial Multiplication for Engineering Audits

An operations trainee is using the vertical method to multiply two polynomials, $(y - 3)$ and $(y^2 - 5y + 2)$, to model a company's production efficiency. According to the setup rules for this method, the trainee should place the binomial $(y - 3)$ on top of the trinomial $(y^2 - 5y + 2)$ to minimize the number of partial products generated.