Prosze pilnie o rozwiazanie tych przykadow. Rozloz wielomin na czynnki: a)W(x)=x³-3x²-x+3 b)W(x)=x³-x²-4x+4 c)W(x)=x⁴-3x³+3x²-x d)W(x)=3x³-x²-27x+9 e)W(x)=x⁵+3x⁴-5x³-15x²+4x+12

a)W(x)=x³-3x²-x+3 x²(x-3)-(x-3) = (x-3)(x²-1) = (x-3)(x-1)(x+1) b)W(x)=x³-x²-4x+4 x²(x-1)-4(x-1) = (x-1)(x²-4) = (x-1)(x-2)(x+2) c)W(x)=x⁴-3x³+3x²-x x(x³-1)-3x²(x-1) = x(x-1)(x²+x+1)-3x²(x-1) = (x-1)(x³-2x²+x) = x(x-1)(x-1)(x-1) d)W(x)=3x³-x²-27x+9 3x(x²-9)-(x²-9) = (x²-9)(3x-1)=(x-3)(x+3)(3x-1) e)W(x)=x⁵+3x⁴-5x³-15x²+4x+12 x⁴(x+3)-5x²(x+3)+4(x+3) = (x+3)(x⁴-5x²+4)