1.

Prove that none of the polynomials listed below has first degree factors:(i) x2 + x + 1(ii) x4 + 1(iii) x2 − x + 1(iv) x4 + x2 + 1

Answer»

Prove that none of the polynomials listed below has first degree factors:



(i) x2 + x + 1



(ii) x4 + 1



(iii) x2 − x + 1



(iv) x4 + x2 + 1



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