F) x5-2x4 - 3x3 + 6x2 x⁴(x-2)-3x²(x-2) (x-2)(x⁴-3x²) (x-2)(x²-√3x)(x²+√3x) k) 1/27 +x3(nie wiem) l) x6-1 (x³-1)(x³+1) m) 64-x6 (8-x³)(8+x³) n) x6-4 (x³-2)(x³+2) o) x6 - 2x3 +1 x³(x³-2)-1
1 [latex]x^4(x-2)-3x^2(x-2)=0 [/latex] [latex](x-2)(x^4-3x^2)=0[/latex] [latex]x^2(x-2)(x^2-3)=0[/latex] [latex]x^2(x-2)(x-sqrt{3})(x+sqrt{3})=0[/latex] 2 k)[latex](frac{1}{3}+x)(frac{1}{9}-frac{1}{3}x+x^2)[/latex] l)[latex](x^2-1)(x^4+x^2+1)=(x-1)(x+1)(x^4+x^2+1)[/latex] m)[latex](4-x^2)(16+4x^2+x^4)=(2-x)(2+x)(16+4x^2+x^4)[/latex] n)(x[latex](x^2-sqrt[3]{4})(x^4+x^2sqrt[3]{4} -2)[/latex] o)[latex]x^3=t[/latex] [latex]t^2-2t+1=0[/latex] delta=4-4=0 [latex]t=frac{-b}{2a} [/latex] [latex]t=frac{2}{2}=1[/latex] [latex]x^3=1[/latex] [latex]x=1[/latex] [latex](x^3-1)=0[/latex] [latex](x-1)(x^2+x+1)=0[/latex]