Rozłóż na czynniki wielomiany , wyłączając wspólny czynnik W(x)=(x2+2)(2x-3)+(x2+2)(x+1) W(x)=(3x2+1)(x-1)-(3x2+1)(2x+5) W(x)=(x+2)(x2+6)-(x+2)(1-2x2) W(x)=(x2+1)(x+3)-(x+3)(4-3x2) W(x)=(2x2+5)(x-1)-(x2+9)(x-1) W(x)=(2x-3)(x2-3)-(2x-3)(5+2x2)

W(x)=(x²+2)(2x-3)+(x²+2)(x+1) W(x)=(x²+2)[2x-3+x+1] W(x)=(x²+2)(3x-2) W(x)=3(x²+2)(x - 2/3) ------------------------------------------- W(x)=(3x²+1)(x-1)-(3x²+1)(2x+5) W(x)=(3x²+1)[x-1-2x-5] W(x)=3(x² + 1/3)(-x-6) W(x)=-3(x² + 1/3)(x+6) ------------------------------------------- W(x)=(x+2)(x²+6)-(x+2)(1-2x²) W(x)=(x+2)[x²+6-1+2x²] W(x)=(x+2)(3x²+5) W(x)=3(x+2)(x² + 5/3) ------------------------------------------- W(x)=(x²+1)(x+3)-(x+3)(4-3x²) W(x)=(x+3)[x²+1-4+3x²] W(x)=(x+3)(4x²-3) W(x)=4(x+3)(x² - 3/4) [latex]W(x)=4(x+3)(x - frac{sqrt{3}}{2})(x + frac{sqrt{3}}{2})[/latex] ------------------------------------------- W(x)=(2x²+5)(x-1)-(x²+9)(x-1) W(x)=(x-1)[2x²+5-x²-9] W(x)=(x-1)(x²-4) W(x)=(x-1)(x-2)(x+2) ------------------------------------------- W(x)=(2x-3)(x²-3)-(2x-3)(5+2x²) W(x)=(2x-3)[x²-3-5-2x²] W(x)=(2x-3)(-x²-8) W(x)=-(2x-3)(x²+8)