Find the solutions to this equation algebraically using the Fundamental Theorem of Algebra, the Rational Root Theorem, Descartes' Rule of Signs, and the Factor Theorem. 4. 0=157x^3+628x^2-3768

Question

Find the solutions to this equation algebraically using the Fundamental Theorem of Algebra, the Rational Root Theorem, Descartes' Rule of Signs, and the Factor Theorem.  4. 0=157x^3+628x^2-3768

anonymous · Answer

the 4 isnt part of it

turingtest · Answer

reference to the initial problem: http://openstudy.com/study#/updates/4fa346d6e4b029e9dc3411df

radar · Answer

divide all terms by 157 getting:$$x ^{3}+4x ^{2}-24=0$$For factor  try 12 or 2 for the 24.
Divide by x-2 getting: $$x ^{2}+6x+12$$ The factors are:
$$(x-2)(x ^{2}+6x+12)$$ The solution of the real root is x=2, the two complex roots are the solution to the quadratic equation.

radar · Answer

The complex roots are:$$x=-3\pm i \sqrt{3}$$

anonymous · Answer

thankx you