Rozłóż na czynniki:
W(x)=x³-2x²+4x-8
W(x)=x³-2x²+x
W(x)=x(do potęgi 4) -16
W(x)=x³-27
W(x)=x³+8
W(x)=x³-3x²+3x-1
W(x)=x³-2x²+4x-8 = x²(x-2)+4(x-2) = (x²+4)(x-2) = (x+2)(x+2)(x-2)
W(x)=x³-2x²+x = x(x²-2+1) = x(x²-1) = x(x+1)(x-1)
W(x)=x(do potęgi 4) -16 = (x²-4)(x²+4) = (x-2)(x+2)(x+2)(x+2)
W(x)=x³-27 = (x-3)(x-3)(x-3)
W(x)=x³+8 = (x+2)(x+2)(x+2)
W(x)=x³-3x²+3x-1 = 1(x³-1)-3x(x-1) = (1-3x)(x-1)(x-1)(x+1)(x+1)
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W(x)=x³-2x²+4x-8 = x²(x-2)+4(x-2) = (x²+4)(x-2) = (x+2)(x+2)(x-2)
W(x)=x³-2x²+x = x(x²-2+1) = x(x²-1) = x(x+1)(x-1)
W(x)=x(do potęgi 4) -16 = (x²-4)(x²+4) = (x-2)(x+2)(x+2)(x+2)
W(x)=x³-27 = (x-3)(x-3)(x-3)
W(x)=x³+8 = (x+2)(x+2)(x+2)
W(x)=x³-3x²+3x-1 = 1(x³-1)-3x(x-1) = (1-3x)(x-1)(x-1)(x+1)(x+1)