SOLUTION: Identify all the real roots of each equation. {{{x^3-7x^2+8x+16=0}}} I don't know what to do in this problem.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Identify all the real roots of each equation. {{{x^3-7x^2+8x+16=0}}} I don't know what to do in this problem.      Log On


   



Question 354883: Identify all the real roots of each equation.
x%5E3-7x%5E2%2B8x%2B16=0
I don't know what to do in this problem.

Answer by agentc0re(3) About Me  (Show Source):
You can put this solution on YOUR website!
Well you will need to start out by factoring the problem.
We know that since it's a degree 3 polynomial that we're going to have something that looks like (x + )(x - ) , for this type of problem.
%28x-4%29%5E2%28x%2B1%29
Knowing that, we know our roots are:
x = 4
x = -1