What are the possible numbers of positive, negative, and complex zeros of f(x) = −3x4 + 5x3 − x2 + 8x + 4?

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06-10-2018
Mathematics

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What are the possible numbers of positive, negative, and complex zeros of f(x) = −3x4 + 5x3 − x2 + 8x + 4?

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remotecontrolbrain remotecontrolbrain · Answer 1 · 2018-10-06T16:37:41+02:00

remotecontrolbrain remotecontrolbrain

06-10-2018

Judging from the graph (attached), there is one negative and one positive zero. Since this is a 4-th order polynomial, it has 4 zeros in total. So there are 2 complex zeros with imaginary components.

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