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W(x=-1)=1-4+12-9=0
W(x) dzieli sie przez (x+1) a=-1
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| 1 | 4 | 0 | -12 | -9 |
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1 1 | 1*(-1)+4=3|3*(-1)+0=-3 |-3*(-1)-12=-9 | -9*(-1)-9=0 |
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W(x):(x+1)=x³+3x²-3x-9
x³+3x²-3x-9=x²(x+3)-3(x+3)=(x+3)(x²-3)=(x+3)(x-√3)(x+√3)
ODP
x4 +4 x3 - 12 x - 9=(x+1)((x+3)(x-√3)(x+√3)
Pozdr
Hans