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Mathematics 22 Online
OpenStudy (anonymous):

help pleasee

OpenStudy (anonymous):

What are the possible numbers of positive real, negative real, and complex zeros of f(x) = -7x4 - 12x3 + 9x2 - 17x + 3? Positive Real: 3 or 1 Negative Real: 1 Complex: 2 or 0 Positive Real: 3 or 1 Negative Real: 2 or 0 Complex: 1 Positive Real: 1 Negative Real: 3 or 1 Complex: 2 or 0 Positive Real: 4, 2 or 0 Negative Real: 1 Complex: 0 or 1 or 3

OpenStudy (anonymous):

@iGreen @anonymous_user @perl @ryanwhite499 @waterineyes

OpenStudy (anonymous):

your life is in my hands

OpenStudy (anonymous):

Our lives in your hands?? Really?? Oh I am just scared.. :)

OpenStudy (anonymous):

\[f(x) = -7x^4 - 12x^3 + 9x^2 - 17x + 3\] the coefficient have 3 changes in sign from \(-12\) to \(+9\) from \(+9\) to \(-17\) and from \(-17\) to \(+3\) so there could be 3 positive real zeros count down by twos, so either 3 or 1 positive real zero

OpenStudy (anonymous):

before worrying about the negative ones, lets look at your choices

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

so it would have to be either 1 or b because 3 positive real zeros

OpenStudy (perl):

3 sign changes for f(x), so there will be 3 zeroes or 1 zero

OpenStudy (anonymous):

only the first two fit that bill 3 or 1 positive

OpenStudy (anonymous):

i mean a or b

OpenStudy (anonymous):

yes, what you said and b makes no sense, since complex zeros come in conjugate pairs (no one can eat just 1) that eliminates b

OpenStudy (anonymous):

your live is saved, my work here is done

OpenStudy (anonymous):

assassination complete thx

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