Math Forum

Re: How can I know how many real roots this polynomial has?

The "intermediate value theorem" says that if P(a)< 0 and P(B)> 0 then there exist [b]at least[/b] one x between a and b such that P(x)= 0.

Let x^7?10x^5+15x+5 a polynomial over Q. I would like to know how many real roots this polynomial has, I know we have to use the intermediate value