SOLUTION: 2x^3-11x^2-100=0 Pls show me the step to step how to solve the problem. I need the value of x

Question 974041: 2x^3-11x^2-100=0
Pls show me the step to step how to solve the problem. I need the value of x
Answer by josgarithmetic(39623) (Show Source): You can put this solution on YOUR website!
Find possible roots to test using the Rational Roots Theorem. Check each possibility using synthetic division. Remainder of 0 means the value is a root. Revise the dividend and keep checking for more rational roots.

Possibilities to begin are plus and minus of 1,2,4,5,8,10,16,20,25,32,75,50. Review the theorem to learn how this works. Once any one root is found, you can find the next two of them through general solution of a quadratic equation.

Your equation might have an irrational real root, so just be aware of this difficulty. There is a bound test that may help narrow a region on the x-axis where to expect the one real irrational root. Be as thorough as you can with rational roots first.
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