How many and of which kind of roots does the equation f(x) = x³ + 2x² + 4x + 8 have?

SOLUTION
The given equation is:
[tex]f\mleft(x\mright)=x^{\left\{3\right\}}+2x^{\left\{2\right\}}+4x+8[/tex]The graph shows the solution
Therefore the function has 1 real roots and 2 complex roots