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1. Determine which of the following polynomials has (x + 1) a factor:

(i) \(x^3+x^2+x+1\)

(ii) \(x^4+x^3+x^2+x+1\)  

(iii) \(x^4+3x^3+3x^2+x+1\)  

(iv) \(x^3-x^2-(2+\sqrt 2)x+\sqrt 2\)