We are told that the area of a rectangular pool equals 12x^2-14x-6. We are asked if (6x+1)(2x-6) is a possible dimension of the pool. To check expand (6x+1)(2x-6) and see if it matches the original given expression.
(6x+1)(2x-6) => 12x^2-36x+2x-6
Combining like terms we get,
12x^2-34x-6 which does not match the original expression.
12x^2-14x-6≠ 12x^2-34x-6, thus (6x+1)(2x-6) is NOT a possible dimension of the pool.