To find the dimensions of the rectangular swimming pool with an area given by the expression \(x^2 + 2x - 15\), we need to factor the quadratic expression.
The expression we need to factor is:
\[ x^2 + 2x - 15 \]
We are looking for two numbers that multiply to \(-15\) (the constant term) and add up to \(2\) (the coefficient of \(x\)).
The factors of \(-15\) that add up to \(2\) are \(5\) and \(-3\). Therefore, we can write the expression as:
\[ (x + 5)(x - 3) \]
Thus, the dimensions of the swimming pool are:
\((x + 5)\) and \((x - 3)\).
The correct answer from the provided choices is:
(x + 5)(x - 3).
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