/**
* Factorise un polynome en fonction de ses 2 racines
* @param Polynome $polynome Le polynome
* @param Array(int) $racines Les racines
* @return Array(string->string) Les formes factorisée, alternative et le polynome de vérification
*/
function factorizeTwo($polynome, $racines)
{
$monomeX = new Monome(1, 1);
$mr1 = new Monome(-1 * $racines[0], 0);
$mr2 = new Monome(-1 * $racines[1], 0);
$po1 = new Polynome(array($monomeX, $mr1));
$po2 = new Polynome(array($monomeX, $mr2));
$po3 = $polynome->algorithme(racinesToPolynome($racines));
$factorise = "(" . $po1 . ")(" . $po2 . ")(" . $po3 . ")";
$factorise2 = prettyFactors($po1, $po2, $po3);
$verif = $po1->multPolynome($po2->multPolynome($po3));
return array("factorise" => $factorise, "factorise2" => $factorise2, "verification" => $verif);
}
