The area of a rectangular carpet is given by the trinomial 5x2 – 3x – 14. What are the possible dimensions of the carpet? Use factoring.%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A(5x + 7) and (–x – 2)%0D%0A(5 x + 7) and (– x – 2)%0D%0A%0D%0A(5x + 7) and (x – 2)%0D%0A(5 x + 7) and ( x – 2)%0D%0A%0D%0A(5x – 7) and (x – 2)%0D%0A(5 x – 7) and ( x – 2)%0D%0A%0D%0A(5x – 7) and (x + 2)
To find the possible dimensions of the carpet, we need to factor the given trinomial, 5x^2 - 3x - 14. The factored form of the trinomial will provide information about the possible dimensions.
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).