Question

Rozłóż wielomian L(x)=[tex]x^{3}[/tex]-6[tex]x^{2}[/tex]-2[tex]x^{2}[/tex]+12 na czynniki

Answer 1

[tex]=(x^{3} -6x^{2}) -2(x-6x)=x^{2}(x-6x)-2(x-6x)=(x-6)( x^{2} -2)=(x-6)(x-\sqrt{2})(x+\sqrt{2})[/tex]