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Mathematics 24 Online
OpenStudy (anonymous):

Please Help Me! One Math Question! Fan and Medal! What are the possible number of negative zeros of f(x) = -2x7 + 2x6 + 7x5 + 7x4 + 4x3 + 4x2 ?

OpenStudy (anonymous):

Plug -x into the function and you get the following:\[f(-x)=2x ^{7}+2x ^{6}-7x ^{5}+7x ^{4}-4x ^{3}+4x ^{2}\]So there are 4 sign changes in the new polynomial, which means there are 4 negative zeros.

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