Use the Factor Theorem to find a polynomial equation, of lowest possible degree, that has only the indicated roots.

3, -2, -3

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The answer :

To find this should you use : (x - 3)(x + 2)(x + 3) = 0

so : (x² + 2x - 3x - 6)(x + 3) = 0

so : (x² -x - 6)(x + 3) = 0

so : x^3 + 3x² - x² - 3x - 6x - 18 = 0

so : x^3 + 2x² - 9x - 18 = 0

so the polynomial is : P(x) = x^3 + 2x² - 9x - 18

Good luck

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