Reduce the following polynomial function: \(\frac{{3x^3 + 6x^2 - 9x - 18}}{{x^2 + 2x - 3}}\)

Step 1 ：Factor both the numerator and the denominator. The numerator factors to \(3(x - 1)(x + 2)(x + 3)\) and the denominator factors to \((x - 1)(x + 3)\).

Step 2 ：After factoring, we have \(\frac{{3(x - 1)(x + 2)(x + 3)}}{{(x - 1)(x + 3)}}\).

Step 3 ：Cancel out the common factors of \((x - 1)\) and \((x + 3)\) in the numerator and denominator.

Step 4 ：We are left with \(3(x + 2)\).