A freezer has a volume given by the trinomial y^3 – 2y^2 – 35y. What are the possible dimensions of the freezer? Use factoring.

1 answer

To find the possible dimensions of the freezer, we need to factor the trinomial y^3 – 2y^2 – 35y.

First, let's factor out a y from the trinomial:
y(y^2 – 2y – 35)

Next, let's factor the quadratic trinomial inside the parentheses:
y(y – 7)(y + 5)

Therefore, the possible dimensions of the freezer are:
y, y – 7, y + 5

This means that the length, width, and height of the freezer could be any combination of these dimensions.