Question

x a la4 +2x a la 3+5x a la2++6x - 11 entre x a la 2 + x -2

Answer 1

$.\quad x^4+2x^3+5x^2+6x-11\quad\underline{|\quad x^2+x-2 } \\ \underline{ -x^4 \ -\ x^3\ +\ 2x^2}\qquad\qquad \qquad x^2 +x +6\to Cociente \\ .\quad0\quad+x^3 +7x^2 + 6x -11 \\ \underline{......... -x^3 \ - x^2\ +\ 2x} \\ ....................6x^2 \ +\ 8x - 11 \\ \underline{................-6x^2 \ -6x\ + 12} \\ ................................2x\ +\ 1\to resto$

Espero que te sirva, salu2!!!!