x³+2x²-16x-32=0
x²(x+2)-16(x+2)=0
(x+2)(x²-16)=0
(x+2)(x-4)(x+4)=0
x=-2 ∨ x=4 ∨ x=-4
x^3 + 2 x^2 - 16 x - 32 = 0
x^2 * ( x + 2) - 16*( x + 2) = 0
( x^2 - 16)*( x + 2) = 0
( x - 4)*(x + 4)*(x + 2) = 0
x - 4 = 0 lub x + 4 = 0 lub x +2 = 0
x = 4 lub x = - 4 lub x = -2
Odp. x1 = - 4, x2 = -2 ; x3 = 4
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x³+2x²-16x-32=0
x²(x+2)-16(x+2)=0
(x+2)(x²-16)=0
(x+2)(x-4)(x+4)=0
x=-2 ∨ x=4 ∨ x=-4
x^3 + 2 x^2 - 16 x - 32 = 0
x^2 * ( x + 2) - 16*( x + 2) = 0
( x^2 - 16)*( x + 2) = 0
( x - 4)*(x + 4)*(x + 2) = 0
x - 4 = 0 lub x + 4 = 0 lub x +2 = 0
x = 4 lub x = - 4 lub x = -2
Odp. x1 = - 4, x2 = -2 ; x3 = 4
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