Question 705365
x = i or x = -i


x^2 = i^2 or x^2 = (-i)^2


x^2 = i^2 or x^2 = i^2


x^2 = i^2


x^2 = -1


x^2 + 1 = 0


x^2 + 1 is a factor


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1 is a root, so x-1 is a factor


-1 is a root, so x+1 is a factor


Factors: x-1, x+1, x^2+1


Complete factorization: (x-1)(x+1)(x^2+1)