Mathematics, 15.09.2019 17:10, fluffpupkiki

What are the possible numbers of positive, negative, and complex zeros of f(x) = −x6 + x5 − x4 + 4x3 − 12x2 + 12?
positive: 4, 2, or 0; negative: 2 or 0; complex: 6, 4, 2, or 0
positive: 3 or 1; negative: 3 or 1; complex: 4, 2, or 0
positive: 2 or 0; negative: 2 or 0; complex: 6, 4, or 2
positive: 5, 3, or 1; negative: 1; complex: 4, 2, or 0

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What are the possible numbers of positive, negative, and complex zeros of f(x) = −x6 + x5 − x4 + 4x3...