Factorization of X3 - X2 - X - 2 | Math enthusiast | Mathematical art

Factorization of X3 - X2 - X - 2

(x-1) (x ^ 2 + ax + 2) = x ^ 3 + ax ^ 2 + 2x-x ^ 2-ax-2 = x ^ 3 + (A-1) x ^ 2 + (2-A) X-2 = 0a-1 = - 12-A = - 1 unreasonable (X-2) (x ^ 2 + ax + 1) = x ^ 3 + ax ^ 2 + x-2x ^ 2-2ax-2 = x ^ 3 + (A-2) x ^ 2 + (1-2a) X-2 = 0a-2 = - 11-2a = - 1A = 1x3 - X2 - X - 2 = (x-1) (x ^ 2 + X + 1)

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