A warehouse manager is calculating the total inventory of two different storage zones. The inventory for Zone A is represented by the polynomial $({}14y^2 + 6y - 4)$, and the inventory for Zone B is represented by $({}3y^2 + 8y + 5)$. To find the combined inventory, the manager must first identify which terms are 'like terms.'

Match each term from the Zone A polynomial with its corresponding like term from the Zone B polynomial.

An operations manager is merging the productivity formulas for two different manufacturing lines. The productivity of Line A is modeled by $({}14y^2 + 6y - 4)$ and Line B by $({}3y^2 + 8y + 5)$. To find the company's total productivity formula, the manager must add these polynomials. Arrange the following steps in the correct order to find the simplified sum.

A logistics coordinator is merging two fuel consumption models for a shipping fleet to determine total efficiency. The model for Route A is represented by the polynomial ${}14y^2 + 6y - 4$, and the model for Route B is represented by ${}3y^2 + 8y + 5$.

What is the simplified polynomial that represents the total fuel consumption for both routes combined?

A store manager is combining two inventory growth models for different product lines. The model for Line A is $(14y^2 + 6y - 4)$ and the model for Line B is $(3y^2 + 8y + 5)$. When these models are added and simplified, what is the coefficient of the $y$ term?

A supply chain analyst is reviewing a budget report where the projected costs for two different distribution centers are modeled by the polynomials ${}14y^2 + 6y - 4$ and ${}3y^2 + 8y + 5$. The report claims that the combined projected cost for both centers is correctly modeled by the simplified polynomial ${}17y^2 + 14y - 9$.

Combining Cost Projection Models

Explaining Like Terms in Business Formulas