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A cubic with roots a, b, c has form:

f(x) = (x - a)(x - b)(x - c)

Thus the cubic with roots 3, -6 and 0 is given by:

f(x) = (x - 3)(x - -6)(x - 0)

→ f(x) = (x - 3)(x + 6)x

→ f(x) = (x² + 3x - 18)x

→ f(x) = x³ + 3x² - 18x

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