How, would I go about proving the root exists for:
$\displaystyle x^3+5x^2-4x-1$ in the interval [0,1]
I'm a little lost as to how I should start.
Thanks.
It seems like I'm not doing anything though f(0) = -1 and f(1) = 1 and all you say is therefore by the intermediate value there must exist an x such that f(x) = 0 because f(0) is negative and f(1) is positive?
Am I missing any steps in the proof? Just lean on the theorem and do nothing?