Rozłóż wielomiany na czynniki nierozkładalne: a) W(x) = x^3 + x^2 - 4x - 4 b) W(x) = x^3 - 2x^2 - 25x + 50 c)W (x) = x^3 + 5x^2 + 4x + 20

a) [latex]x^3 + x^2 - 4x - 4 = \ x^2(x+1)-4(x+1) = \ (x^2-4)(x+1) = \ (x-2)(x+2)(x+1)[/latex]   b) [latex]x^3 - 2x^2 - 25x + 50 = \ x^2(x-2)-2x(x-2) = \ (x^2-2x)(x-2) = \ (x-sqrt{2x})(x+sqrt{2x})(x-2)[/latex]   c)[latex]x^3 + 5x^2 + 4x + 20 = \ x^2(x+5)+4(x+5) = \ (x^2+4)(x+5) [/latex]