A.
[tex](x^{2}+2x-3)(x-1)^{3} = 0\\\\(x^{2}-x+3x-3)(x-1)^{3} = 0\\\\(x(x-1)+3(x-1))(x-1)^{3} = 0\\\\(x+3)(x-1)(x-1)^{3} = 0\\\\(x+3)(x-1)^{4} = 0\\\\x+3 = 0 \ \ \vee \ \ (x-1)^{4} = 0\\\\\boxed{x = -3 \ - \ pierwiastek \ 1-krotny}\\\\lub\\\\x-1 = 0 \ \ \rightarrow \ \ \boxed{x = 1 \ - \ pierwiastek \ 4-krotny}[/tex]
B.
[tex]x^{5}-6x^{4}+9x^{3} = 0\\\\x^{3}(x^{2}-6x+9x) = 0\\\\x^{3}(x-3)^{2} = 0\\\\x^{3} = 0 \ \ \vee \ \ (x-3)^{2} = 0\\\\\boxed{x = 0 \ - \ pierwiastek \ 3-krotny}\\\\lub\\\\x-3 = 0 \ \ \rightarrow \ \ \boxed{x = 3 \ - \ pierwiastek \ 2-krotny}[/tex]
