N° 2 Regola di Ruffini

$(5 x^{3} + \frac{x^{2}}{4} + \frac{13}{12} x + \frac{1}{3}) : (2 x + 1)$

$= ({\frac{5}{2} x}^{3} + \frac{1}{8} x^{2} + \frac{13}{24} x + \frac{1}{6})$ : $(x + \frac{1}{2})$

Regola di Ruffini per il binomio: $(x + \frac{1}{2})$


	$\frac{5}{2}$	$+ \frac{1}{8}$	$\frac{13}{24}$	$\frac{1}{6}$
$- \frac{1}{2}$		$- \frac{5}{4}$	$\frac{9}{16}$	$- \frac{53}{96}$
	$\frac{5}{2}$	$- \frac{9}{8}$	$\frac{53}{48}$	$- \frac{37}{96}$

Fattorizzazione del polinomio: $5 x^{3} - \frac{x^{2}}{4} + \frac{13}{12} x + \frac{1}{2} = 2 \cdot (\frac{5}{2} x^{2} - \frac{9}{8} x + \frac{53}{48}) (x + \frac{1}{2}) - \frac{37}{48}$