Solve the inequality (x+1)(x^2 + x + 1)/x >= 0

[simonjordan2008]

I have the inequality (x+1)(x^2 + x + 1)/x ≥ 0.

im not sure how to solve it.
I know you can put x+1 = 0 therfore x=-1 and x=0 and see where the sign changes however im not sure about( x^2 + x + 1). I have tried and failed to factorize it further so do i use the quadratic formula?

 

[pka]

Re: I have the inequality (x+1)(x^2 + x + 1)/x ≥ 0

I have the inequality (x+1)(x^2 + x + 1)/x ≥ 0.
therfore x=-1 and x=0 and see where the sign changes however im not sure about( x^2 + x + 1). I have tried and failed to factorize it further so do i use the quadratic formula?

It has no real roots! So there are only two values to worry with, 0 & 1.