1. Rozłóż wielomian na czynniki W(x) = x⁴ +4x³ - 13x² - 4x +12
W(1)= 1+4-13-4+12=17-17=0
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W(-1)= -1+5+8-12= 13-13=0
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delta=16- 4*(-12)= 16+48=64
odp. -6,2, 1,-1
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W(1)= 1+4-13-4+12=17-17=0
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=![5x^3-13x^2 5x^3-13x^2](https://tex.z-dn.net/?f=5x%5E3-13x%5E2)
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=![-8x^2-4x -8x^2-4x](https://tex.z-dn.net/?f=-8x%5E2-4x)
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=![-12x +12 -12x +12](https://tex.z-dn.net/?f=-12x+%2B12+)
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= =
W(-1)= -1+5+8-12= 13-13=0
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=![4x^2-8x 4x^2-8x](https://tex.z-dn.net/?f=4x%5E2-8x)
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=![-12x-12 -12x-12](https://tex.z-dn.net/?f=-12x-12)
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= =
delta=16- 4*(-12)= 16+48=64
odp. -6,2, 1,-1