Question

Divida X⁴-9x²+12x-4 por x²+3x-2

Answer 1

$\begin{array}{ll}~~x^4+0x^3-9x^2+12x-4&|\underline{x^2+3x-2} \\\underline{ -x^4-3x^3+2x^2}&x^2-3x+2\\~~0~~-3x^3-7x^2+12x-4&\\\underline{~~0~~+3x^3+9x^2-~6x}\\~~0~~+0~~~+2x^2~+6x} -4\\\underline{~~0~~+0~~~-2x^2~-6x +4} \\ ~~0~~~~~~0~~~~~~~0~~~~~~ ~0~~ ~~ ~0}\ \end{array} \\ \\ Quociente{:}~~x^2-3x+2 \\ Resto{:}~~0$