Question

divisão de polinómio x⁶+2x⁴-x² pelo polinómio (x²+x)²
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Answer 1

$\Large\boxed{\begin{array}{l}\rm (x^2+x)^2=x^4+2x^3+x^2\\\\\rm x^6+2x^4-x^2~~|\underline{x^4+2x^3+x^2~~~~~~}\\\rm\underline{\!\!\!\! -x^6-2x^5-x^4}~~~x^2-2x+5\longleftarrow quociente\\\rm-2x^5+x^4-x^2\\\rm\underline{+2x^5+4x^4+2x^3}\\\rm5x^4+2x^3-x^2\\\rm\!\!\!\underline{-5x^4-10x^3-5x^2}\\\rm-8x^3-6x^2\longleftarrow resto\end{array}}$