rozłóż wielomian W(x)=x^6-16x^3+64 na czynniki możliwie najniższego stopnia
W(x) = x⁶ - 16 x³ + 64 = (x³ - 8)² = (x³ -2³)² =[(x -2)(x²+2x + 4)]² =
= (x-2)²(x² +2x + 4)²
=====================
bo
Δ = 2² -4*1*4 = 4 - 16 = - 12 < 0
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W(x) = x⁶ - 16 x³ + 64 = (x³ - 8)² = (x³ -2³)² =[(x -2)(x²+2x + 4)]² =
= (x-2)²(x² +2x + 4)²
=====================
bo
Δ = 2² -4*1*4 = 4 - 16 = - 12 < 0