rozloz wielomiany na czynniki i przedstaw w jak najprostrzej postaci : 1. W(x) = 2x3 -x2 -6x + 3 2. W(x) = 16x2 - 9 3. W(x) = (4x2-9)(x2+4x+3)

[latex]1.\\W(x) = 2x^{3}-x^{2}-6x+3 = x^{2}(2x-1)-3(2x-1)=\\=(x^{2}-3)(2x-1)=(x+sqrt{3})(x-sqrt{3})(2x-1)[/latex] [latex]2.\\W(x) = 16x^{2}-9 = (4x+3)(4x-3)[/latex] [latex]3.\\W(x) = (4x^{2}-9)(x^{2}+4x+3)=(2x+3)(2x-3)(x^{2}+x+3x+3)=\\=(2x+3)(2x-3)[(x(x+1)+3(x+1)]=\\=(2x+3)(2x-3)(x+3)(x+1)[/latex]