SOLUTION: How do I solve this inequality?: x^3+5x^2-9x-45 is greater than and equal to 0

Question 388277: How do I solve this inequality?:
x^3+5x^2-9x-45 is greater than and equal to 0

Answer by Jk22(389) (Show Source): You can put this solution on YOUR website!
x^3+5x^2-9x-45=x^2(x+5) -9(x+5) by grouping

we have (x+5)(x^2-9) is the function.

Since the roots are simple, and that for x->-oo the function goes to negative values, we have :

the domain where the function is positive is : [-5;-3]U[3,+oo[

Solved by pluggable solver: Plot Any Inequality

Graphing function :

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