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How do you list all of the possible rational zeros, algebra 2?

List all the possible rational zeros of p(x) = 2x3 - 3x2 + 4x - 6 I have no idea where to start.

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1. Let p(x) = 0 and solve for x. 0 = 2x³ - 3x² + 4x - 6 Factor-by-grouping: => 0 = x²(2x - 3) + 2(2x - 3) => 0 = (x² + 2)(2x - 3) Set each by zero and solve for x. x² + 2 = 0 and 2x - 3 = 0 x = {±2i, 3/2} Therefore, the possible rational zero is 3/2. I hope this helps!