I have seventeen degree polynomial. Can i know the number of roots from discriminant(>0,<0 or =0)...
Discriminant - Wikipedia, the free encyclopedia
If the discriminant is positive the polynomial will have 17 distinct real roots.
If the discriminant is equal to zero, the polynomial will have repeated roots and therefore less than 17 distinct real roots. But there's no way of knowing how many distinct real roots there are.
If the discriminant is less than zero, ..... I leave this case for you to research.