Question

efetue as divisões abaixo utilizando o dispositivo Briot-ruffini : P (x)=2x3 -1por B (x)=x+1/2

Answer 1

$P (x)=2x^3 -1\quad : \qquad B (x)=x+ \frac{1}{2} \\ \\ \\.\qquad\ | 2x^3 \qquad +0x^2\qquad +0x\qquad -1 \\ \\ \\.\qquad\ | 2 \qquad\quad+0\qquad \qquad +0\qquad -1 \\ \\ - \frac{1}{2}\quad| \qquad \qquad -1\qquad\quad + \frac{1}{2} \qquad - \frac{1}{4} \\ ------------------ \\ \\.\qquad |\quad 2 \qquad \quad -1\qquad \qquad \frac{1}{2} \qquad ||{- \frac{5}{4}}$

$P (x)=2x^3 -1\quad : \qquad B (x)=x+ \frac{1}{2} = (2x^2-1x+ \frac{1}{2}) \\ \\ \\ resto= \boxed{- \frac{5}{4}}$