Question

calcule o coeficiente da divisão do polinomio P (x)=x3-3x2-4x+6 por D (x)=x+2

Answer 1

$p(x) = x^3-3x^2-4x+6~: ~d(x)=x+2\\\\\\~~~~x^3-3x^2-4x+6~~| \underline{~~x+2~~~~~~~~}\\ \underline{-~x^3-2x^2~~~~~~~~~~~~~}~~~~ ~~{ \it x^2 -5x+6 ~~\to ~~quociente}\\~~~~~~~-5x^2-4x+6\\~~~~~~~\underline{+5x^2+10x~~~~~~} \\ ~~~~~~~~~~~~~~~~~~~6x+6\\ ~~~~~~~~~~~~~~~\underline{-6x-12~}\\ ~~~~~~~~~~~~~~~~~~~~~~{ \it -6~~\to~~resto }$