Wielomian W (x)= 2x⁴ - x³ - 3x² rozłóż na czynniki możliwie najniższego stopnia
W(x)= x²(x+1)(x-1,5)
2x⁴-x³-3x²=x²[2x²-x-3]=
Δ=b²-4ac=1+24=25
Δ=5
x₁=[-b-Δ]/2a=[1-5]/4=-1
x₂=[-b+√Δ]/2a=[1+5]/4=1,5
2x²[x+1][x-1,5]
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W(x)= x²(x+1)(x-1,5)
2x⁴-x³-3x²=x²[2x²-x-3]=
Δ=b²-4ac=1+24=25
Δ=5
x₁=[-b-Δ]/2a=[1-5]/4=-1
x₂=[-b+√Δ]/2a=[1+5]/4=1,5
2x²[x+1][x-1,5]