Question 669010
If you're considering complex roots, then it has 3 complex roots according to the Fundamental Theorem of Algebra (notice how the degree of this polynomial is 3).


And it turns out that graphing it gives us this


{{{ drawing(500, 500, -5, 18, -1000, 1000,
 graph( 500, 500, -5, 18, -1000, 1000,0,-12x^2 - 25x + 5 + x^3)

)}}}


and we see 3 x-intercepts (which means that there are 3 roots)