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Question - Factorisation of Polynomials

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Question

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

(i) x3 + x2 + x + 1

(ii) x4 + x3 + x2 + x + 1

(iii) x4 + 3x3 + 3x2 + x + 1

`(iv) x^3-x^2-(2+sqrt2)x+sqrt2`

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