Question

What are the possible number of positive, negative, and complex zeros of f(x) = –x^6 – x^5– x^4 – 4x^3 – 12x^2 + 12 ?

Positive: 4, 2, or 0; Negative: 2 or 0; Complex: 6, 4, 2, or 0

Positive: 1; Negative: 5, 3, or 1; Complex: 4, 2, or 0

Positive: 3 or 1; Negative: 2 or 0; Complex: 4, 2, or 0

Positive: 3 or 1; Negative: 3 or 1; Complex: 4, 2, or 0

Answer 1

@theloaad @Haseeb96

Answer 2

http://www.wolframalpha.com/input/?i=plot+12+-+12+x^2+-+4+x^3+-+x^4+-+x^5+%2B+x^6
First choice is your answer.