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Easy: Factored form
A zero of p(x) is an x-value that makes p(x) = 0. In factored form, set each factor equal to zero. If one zero r is known, divide by x − r (synthetic division) and factor the quadratic that is left. Some cubics factor by grouping: take a common factor from the first two terms and from the last two.
Find all the zeros.
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Divide by x − r for the known zero r (synthetic division works well). The quotient is a quadratic you can factor or solve with the quadratic formula.
Pair the terms and factor each pair: x³ + 2x² − 9x − 18 = x²(x + 2) − 9(x + 2) = (x + 2)(x² − 9) = (x + 2)(x + 3)(x − 3).
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