The endosymbiotic theory concerns the origins of mitochondria and chloroplasts, which are organelles of eukaryotic cells. According to this theory, these originated as prokaryotic endosymbionts, which came to live inside eukaryotic cells.he theory postulates that the mitochondria evolved from aerobic bacteria (probably proteobacteria, related to the rickettsias), and that the chloroplast evolved from endosymbiotic cyanobacteria (autotrophic prokaryotes).
The rational root theorem is a special case (for a single linear factor) of Gauss's lemma on the factorization of polynomials. The integral root theorem is a special case of the rational root theorem if the leading coefficient a n = 1.
A constant function such as f (x) = Ï is a rational function since constants are polynomials. Note that the function itself is rational, even though the value of f (x) is irrational for all x. Every polynomial function is a rational function with.A function that cannot be written in this form, such as, is not a rational function. The adjective irrational is not generally used for functions.ote that the function itself is rational, even though the value of f (x) is irrational for all x. Every polynomial function is a rational function with. A function that cannot be written in this form, such as, is not a rational function.