[tex]a)\\W(x) = (x^{2}+9)(x^{2}-16)(3x^{2}-7x+2) = (x^{2}+9)(x+4)(x-4)(3x^{2}-6x-x+2)=\\\\=(x^{2}+6)(x+4)(x-4)[3x(x-2)-(x-2)] =(x^{2}+6)(x+4)(x-4)(x-2)(3x-1)\\\\\\b)\\W(x) = 5x^{3}-11x^{2}+2x = x(5x^{2}-11x+2) = x(5x^{2}-10x-x+2) =\\\\=x[5x(x-2)-(x-2)] =x(x-2)(5x-1)\\\\\\c)\\W(x) = 4x^{3}+x^{2}-16x-4 = 4x^{2}(4x+1)-(4x+4)=(4x+1)(x^{2}-4)=\\\\=(4x+1)(x+2)(x-2)[/tex]
[tex]d)\\W(x) = x^{3}+5x^{2}+8x+4 = (x^{3}+x^{2})+(4x^{2}+8x+4) = x^{2}(x+1)+4(x^{2}+2x+1)=\\\\=x^{2}(x+1)+4(x+1)^{2}=(x+1)[x^{2}+4(x+1)] = (x+1)(x^{2}+4x+4) =\\\\=(x+1)(x+2)^{2}[/tex]
