What are the possible number of positive, negative, and complex zeros of f(x) = 3x4 – 5x3 – x2 – 8x + 4 ?
Answer
Positive: 2; Negative: 2; Complex: 4 or 2 or 0
Positive: 3 or 1; Negative: 1; Complex: 2 or 0
Positive: 1; Negative: 3 or 1; Complex: 2 or 0
Positive: 2 or 0; Negative: 2 or 0; Complex: 4 or 2 or 0

Question

What are the possible number of positive, negative, and complex zeros of f(x) = 3x4 – 5x3 – x2 – 8x + 4 ?
Answer
		Positive: 2; Negative: 2; Complex: 4 or 2 or 0
		Positive: 3 or 1; Negative: 1; Complex: 2 or 0
		Positive: 1; Negative: 3 or 1; Complex: 2 or 0
		Positive: 2 or 0; Negative: 2 or 0; Complex: 4 or 2 or 0

anonymous · Answer

Complex zeroes always in pairs, so 0, 2 or 4, so last one