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use the intermediate value theorem to find intervals one unit in length in which the polynomial function is guranteed to have a zero. f(x)=x^3-3x^2+3
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make a nice guess for where this is near zero, i.e. find two successive integers for which \(f\) is negative and \(f\) is positive
-1 and 0 would work also 1 and 2
\(f(-1)=-1-3+3=-1\) and \(f(0)=3\) so first \(f\) in negative, then positive, so it must be zero some where in between
how about h(x)=x^4-10x^2+3
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