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.
Rational Functions In this chapter, youâll learn what a rational function is, and youâll learnhow to sketch the graph of a rational function. Rational functions A rational function is a fraction of polynomials.That is, if p(x)andq(x)are polynomials, thenp(x)q(x)is a rational function. The numerator is p(x)andthedenominator is q(x).Examples.â¢ 3(x5)(x1) â¢ 1x â¢ 2x 3 1 =2x 3 The last example is both a polynomial and a rational function.ational functions A rational function is a fraction of polynomials. That is, if p(x)andq(x)are polynomials, thenp(x)q(x)is a rational function. The numerator is p(x)andthedenominator is q(x).Examples.â¢ 3(x5)(x1) â¢ 1x â¢ 2x 3 1 =2x 3 The last example is both a polynomial and a rational function.