Witam, mam problem z zadaniami.
Rozłóż wielomian W na czynniki:
a)
b)
Z góry dzięki za pomoc
7x⁴+14x³-21x²=0
7x²(x²-2x-3)=0
x=0 Δ=16 √Δ=4 x₁=3 x₂=-1
x⁵-4x³-x²+4=0
x³(x²-4)-1(x²-4)=(x²-4)(x³-1) x=2 x=-2 x=1
3x⁴-2x³+⅓x²=0
x²(3x²-2x+⅓)=0
x=0 Δ=4-4=0 x=⅓
x⁶-1=0
x⁶=1
x=1
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a)
7x⁴+14x³-21x²=0
7x²(x²-2x-3)=0
x=0 Δ=16 √Δ=4 x₁=3 x₂=-1
x⁵-4x³-x²+4=0
x³(x²-4)-1(x²-4)=(x²-4)(x³-1) x=2 x=-2 x=1
b)
3x⁴-2x³+⅓x²=0
x²(3x²-2x+⅓)=0
x=0 Δ=4-4=0 x=⅓
x⁶-1=0
x⁶=1
x=1