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

Question

Accepted Answer

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)).

Answer

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)).

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

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