$\text{a)}\left(x^3-2x^2+x\right):\left(x-2\right)=x^2+1,\text{reszta:}2$  

Zatem:

$w\left(x\right)=x^3-2x^2+x=\left(x^2+1\right)\left(x-2\right)+2$  

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$\text{b)}\left(-2x^3+3x^2+4\right):\left(x+3\right)=-2x^2+9x-27,\text{restza:}85$  

Zatem:

$w\left(x\right)=-2x^3+3x^2+4=\left(-2x^2+9x-27\right)\left(x+3\right)+85$  

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$\text{c)}\left(x^4+x^3-3x^2+x\right):\left(x-1\right)=x^3+2x^2-x$  

Zatem:

$w\left(x\right)=x^4+x^3-3x^2+x=\left(x^3+2x^2-x\right)\left(x-1\right)$  

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$\text{d)}\left(3x^4-x^2+9x-1\right):\left(x+2\right)=3x^3-6x^2+11x-13,\text{reszta:}25$  

Zatem:

$w\left(x\right)=3x^4-x^2+9x-1=\left(3x^3-6x^2+11x-13\right)\left(x+2\right)+25$