Question

Efetue as divisaos abaixo utilizando o dispositivo Briot-ruffini P (x)=x4-5x2+5 por B (x)=x-3.

Answer 1

$P (x)=x^4-5x^2+5\quad : \qquad B (x)=x-3 \\ \\ \\.\qquad\ | x^4 \qquad +0x^3\qquad -5x^2\qquad +0x\qquad +5 \\ \\ \\.\qquad\ | 1 \qquad\quad+0\qquad \quad -5\qquad \quad +0\qquad +5 \\ \\ +3\quad| \qquad \qquad+3\qquad\quad +9 \qquad +12\qquad +36 \\ ------------------------- \\ \\.\qquad |\quad 1 \qquad \quad +3\qquad \quad +4\qquad +12 \qquad ||{+41}$

$P (x)=x^4-5x^2+5\quad : \qquad B (x)=x-3 = (x^3+3x^2+4x+12) \\ \\ \\ resto= \boxed{+ 41}$