czy do zadania x^5-4x^4-4x^3+16x^2 ktore brzmi rozłóz wielomian na czynniki odpowiedz x^2(x-2)(x+2)(x-4) nie jest prawidłowa?
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x^5-4x^4-4x^3+16x^2 = x^4(x-4)-4x^2(x-4) =
=(x^4 - 4x^2)(x-4) = (x^2-2x)(x^2+2x)(x-4)=
=(x-√2x)(x+√2x)x(x+2)(x-4)=
=x(x-√2x)(x+√2x)(x+2)(x-4)