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Algebra
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How many real negative roots can this function possibly have? f(x) = 5x4 – 7x3 – x2 – 3x – 2
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count the sign changes in f(-x)
f(-x) = 5(-x)^4 -7(-x)^3 -(-x)^2 -3(-x) -2 --> 5x^4 +7x^3 -x^2 +3x -2 --> pos, pos,neg,pos, neg 3 sign changes .... 1 or 3 possible neg roots
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