The area of a rectangular carpet is given by the trinomial 5x2 – 3x – 14. What are the possible dimensions of the carpet? Use factoring. (1 point) Responses (5x + 7) and (–x – 2) (5 x + 7) and (– x – 2) (5x + 7) and (x – 2) (5 x + 7) and ( x – 2) (5x – 7) and (x – 2) (5 x – 7) and ( x – 2) (5x – 7) and (x + 2)
To find the possible dimensions of the carpet, we need to factor the trinomial 5x^2 - 3x - 14.
The factors of 5x^2 are 5x and x.
The factors of -14 are -7 and 2 (since -7 * 2 = -14 and -7 + 2 = -3).
So, the factored form of 5x^2 - 3x - 14 is (5x + 7)(x - 2).
Therefore, the possible dimensions of the carpet are (5x + 7) and (x - 2).
The correct answer is:
(5x + 7) and (x - 2)