In a few days i´m having a presentation in number theory.
Are there any characteristics of polynomials with rational roots? Both the expression and graphical.
How do I do this?
Like what do you mean.
Like this one? Assume $\displaystyle deg(f(x)) \geq 2$
if $\displaystyle f(x) \in \mathbb{Q}[X] \text{ such that f(x) is irreducible in } \mathbb{Q}[X] \text{ then f has no roots in } \mathbb{Q} $ ?
or
$\displaystyle f(x) \in \mathbb{Z}[X] \text{ if f(x) is reducible in } \mathbb{Q}[X] \text{ then f(x) is reducible in also} \mathbb{Z}[X] $
Check out the rational root theorem
Rational root theorem - Wikipedia, the free encyclopedia