Wyznacz wielomian v(x)=[w(x)]² i podaj jego stopień.
w(x)=x³-4x² +3
v(x) = (x^3 - 4x^2 + 3) (x^3 - 4x^2 + 3) = x^6 - 4x^5 + 3x^3 - 4x^5 + 16x^4 - 12x^2 + 3x^3 - 12x^2 + 9 = x^6 - 8x^5 + 16x^4 + 6x^3 - 24x^2 + 9 stopień IV
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v(x) = (x^3 - 4x^2 + 3) (x^3 - 4x^2 + 3) = x^6 - 4x^5 + 3x^3 - 4x^5 + 16x^4 - 12x^2 + 3x^3 - 12x^2 + 9 = x^6 - 8x^5 + 16x^4 + 6x^3 - 24x^2 + 9 stopień IV