Find the value of x3-x2-2x-4 when x-1- -3 i-

We know that, i^2= 1 i^3= i x^3+x^2+2x+4=(1+√(3)i)^3+(1+√(3)i)^2+2(1+√(3)i)+4 =(1+3√(3)i^3+3√(3)i+3.3.i^2)+(1+3i^2+2√(3)i)+2(1+√(3)i)+4 =1 ...

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Factorisation by Regrouping Terms

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Question

Find the value of $x^{3} + x^{2} + 2 x + 4$ when $x = 1 + \sqrt{3} i$ .

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