$\text{a)}W\left(x\right)=x\left(x+3\right)\left(x-1\right)\left(x-2\right)$  

Odczytujemy pierwiastki wielomianu W:

$0,-3,1,2$  

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$\text{b)}W\left(x\right)=3x\left(4-x\right)\left(3+2x\right)\left(1-2x\right)=$  

$=3x\cdot \left[-\left(x-4\right)\right]\cdot 2\left(x+\frac{3}{2}\right)\cdot \left[-2\left(x-\frac{1}{2}\right)\right]=$  

$=12x\left(x-4\right)\left(x+\frac{3}{2}\right)\left(x-\frac{1}{2}\right)$  

Odczytujemy pierwiastki wielomianu W:

$0,4,-\frac{3}{2},\frac{1}{2}$  

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

$=x^2{\left(x-1\right)}^2\cdot {\left[-\left(x-4\right)\right]}^2=$  

$=x^2{\left(x-1\right)}^2{\left(x-4\right)}^2$  

Odczytujemy pierwiastki wielomianu W:

$0,1,4$  

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$\text{d)}W\left(x\right)=5x^3{\left(x+3\right)}^4{\left(\sqrt{2}-x\right)}^3=$  

$=5x^3{\left(x+3\right)}^4{\left[-\left(x-\sqrt{2}\right)\right]}^3=$  

$=5x^3{\left(x+3\right)}^4\cdot \left(-1\right)\cdot {\left(x-\sqrt{2}\right)}^3=$  

$=-5x^3{\left(x+3\right)}^4{\left(x-\sqrt{2}\right)}^3$  

Odczytujemy pierwiastki wielomianu W:

$0,-3,\sqrt{2}$