Question

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Answer 1

Respuesta:

Explicación paso a paso:

$\frac{5x^{5}-x^{4}+6x^{3}-7x+3}{5x^{2}-6x+2}=\begin{matrix}5x^{5}&-x^{4}&+6x^{3}&&-7x&+3&:&5x^{2}-6x+2=x^{3}+x^{2}+2x+2\\-5x^{5}&+6x^{4}&-2x^{3}\\\hline0&+5x^{4}&+4x^{3}&&-7x\\&-5x^{4}&+6x^{3}&&-2x\\\hline&0&10x^{3}&&-9x\\&&-10x^{3}&+12x^{2}&-4x\\\hline&&0&12x^{2}&-13x&+3\\&&&-10x^{2}&+12x&-4\\\hline&&&2x^{2}&-x&-1\end{matrix}$

$q(x)=x^{3}+x^{2}+2x+2\\\\1+1+1+2=5</p><p>$

$\frac{5x^{5}-x^{4}+6x^{3}-7x+3}{5x^{2}-6x+2}=x^{3}+x^{2}+2x+2\frac{2x^{2}-x-1}{5x^{2}-6x+2}$