The area of a rectangular pool is given by the trinomial 2 y squared minus y minus 3. What are the possible dimensions of the pool? Use factoring.

Answer 1

To find the dimensions of the pool, we need to factor the trinomial 2y^2 - y - 3.

The factored form of the trinomial is:

2y^2 - y - 3 = (2y + 3)(y - 1)

The dimensions of the pool are the factors of the trinomial, which are (2y + 3) and (y - 1).

Therefore, the possible dimensions of the pool are:

Length: 2y + 3
Width: y - 1

These dimensions can be any values that make the trinomial positive and give a positive area for the pool.