Matematică, întrebare adresată de nicoletadigori95, 8 ani în urmă

Doar a) și b)
Arătați rezolvarea, vă rog

Apreciez rsp.​

Anexe:

Răspunsuri la întrebare

Răspuns de dada220504
1

sper să te ajute :)))))))

Anexe:
Răspuns de Seethh
1

\displaystyle a)~P(X)=X^4+X^3+X^2+X\\\\ Q(X)=X+2                          

                 \left\begin{array}{ccc}~~~~~~~~~~~~~~X^4+X^3+X^2+X\\-X^4-2X^3\\~~~~~~~~~------------\\~~~~~~~~~~~~~/~-X^3+X^2+X\\~~~~~~~~~~~~~~X^3+2X^2\\~~~~~~~~~------------\\~~~~~~~~~~~~~~~~~~~~~~~/~~~3X^2+X\\~~~~~~~~~~~~~~~~~~~~~~~~~~-3X^2-6X\\~~~~~~~~~~------------\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~/~~-5X\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~5X+10\\~~~~~~~~~~------------\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~/~~ 10\end{array}\right|\left\begin{array}{ccc}\cfrac{X+2}{X^3-X^2+3X-5} \\\\\\\\\\\\\\\\\\\\\\\\\end{array}\right                  

\displaystyle c=X^3-X^2+3X-5\\\\ r=10

\displaystyle b)~P(x)=-5X^4-X^3+X^2-2X-6\\\\ Q(X)=X-1

         \left\begin{array}{ccc}~~~~~~~~~~~~~~~~-5X^4-X^3+X^2-2X-6\\5X^4-5X^3\\~~~~~~--------------\\~~~~~~~~~~~~~~~/~-6X^3+X^2-2X-6\\~~~~~~~~~6X^3-6X^2\\~~~~~~~--------------\\~~~~~~~~~~~~~~~~~~~~/~-5X^2-2X-6\\~~~~~~~~~~~~~~~~~~~~~5X^2-5X\\~~~~~~~--------------\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~/~~-7X-6\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~7X-7\\~~~~~~~~--------------\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~/~-13\end{array}\right|\left\begin{array}{ccc}\cfrac{X-1}{-5X^3-6X^2-5X-7}\\\\\\\\\\\\\\\\\\\\\\\\\end{array}\right

\displaystyle c=-5X^3-6X^2-5X-7\\\\r=-13

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