SOLUTION: According to the rule of signs, the equation f(x)=X^4+4X^3-2X^2+X-6 has a maxium of ____ negative roots?

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Question 202839: According to the rule of signs, the equation f(x)=X^4+4X^3-2X^2+X-6 has a maxium of ____ negative roots?
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = x^4 +x^3 -2x^2 +x -6
.
f(-x) = (-x)^4 +(-x)^3 -2(-x)^2 +(-x) -6
.
f(-x) = +x^4 -x^3 -2x^2 -x -6
.
variations in sign = 1,,,therefore 1 neg root
.
max of 1 neg roots