Find the bounds for the solution of the equation:

$$x^3+2x^2-12x-24=0$$

Please show all working.

Question

Find the bounds for the solution of the equation:

$$x^3+2x^2-12x-24=0$$

Please show all working.

anonymous · Answer

What do you mean by bounds?

anonymous · Answer

For the the theorem on bounds for real zeros of polynomials.... Our lectuer skipped this is class and tell us to read it and I really don't know waht to do and that is one of the qestions.

anonymous · Answer

Are you asking for the zeroes of the polynomial.?

anonymous · Answer

no upper and lower bounds. If it helps the answer is [-5,4]

anonymous · Answer

http://en.wikipedia.org/wiki/Upper_and_lower_bounds According to this bounds are simply the max and min values of the function. However, your function is not bounded. http://www.wolframalpha.com/input/?i=x%5E3+%2B+2x%5E2+-+12x+-+24

anonymous · Answer

I think I figured it out, it does have bounds, though but  thanks so much for your help!