W(x)=x³+7x²-x-7 W(x)=x²(x+7)-(x+7) W(x)=(x²-1)(x+7) W(x)=(x-1)(x+1)(x+7) [Wzór: a²-b²=(a-b)(a+b) - różnica kwadratów] --------------------------------------------- W(x)=2x³+x²-8x-4 W(x)=x²(2x+1)-4(2x+1) W(x)=(x²-4)(2x+1) W(x)=(x-2)(x+2)*2(x + 1/2) W(x)=2*(x-2)(x+2)(x + 1/2) [Wzór: a²-b²=(a-b)(a+b) - różnica kwadratów] --------------------------------------------- W(x)=2x⁴-3x³+2x-3 W(x)=x³(2x-3)+(2x-3) W(x)=(x³+1)(2x-3) W(x)=(x+1)(x²-x+1)*2(x - 3/2) W(x)=2*(x+1)(x²-x+1)(x - 3/2) [Wzór: a³+b³=(a+b)(a²-ab+b²) - suma sześcianów]
[latex]W(x)=x^3+7x^2-x-7\=x^2(x+7)-(x+7)\=(x+7)(x^2-1)\=(x+7)(x+1)(x-1) \\W(x)=2x^3+x^2-8x-4\=x^2(2x+1)-4(2x+1)\=(2x+1)(x^2-4)\=(2x+1)(x+2)(x-2) \\W(x)=2x^4-3x^3+2x-3\=x^3(2x-3)+(2x-3)\=(2x-3)(x^3+1)\=(2x-3)(x+1)(x^2-x+1)[/latex] Wzory: [latex]a^2-b^2=(a+b)(a-b)\a^3+b^3=(a+b)(a^2-ab+b^2)[/latex]
