X4-17x3+15x2+17x-16=0
X^4-17x^3+15x^2+17x-16=0
x^4-16x^3-x^3+16x^2-x^2+16x+x-16=0
x³(x-16)-x²(x-16)-x(x-16)+(x-16)=0
(x-16)(x³-x²-x+1)=0
(x-16)((x³+1)-(x²+x))=0
(x-16)((x+1)(x²-x+1)-x(x+1))=0
(x-16)(x+1)(x²-x+1-x)=0
(x-16)(x+1)(x-1)²=0
x₁=16
x₂=-1
x₃=1
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