The area of a rectangular carpet is given by the trinomial 5x2 – 3x – 14. What are the possible dimensions of the carpet? Use factoring.
To find the possible dimensions of the carpet, we need to factor the trinomial 5x^2 - 3x - 14.
The factored form of the trinomial will give us two binomials, which represent the length and width of the rectangle.
5x^2 - 3x - 14 can be factored as (5x + 7)(x - 2).
Therefore, the possible dimensions of the carpet are 5x + 7 and x - 2.