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comment decomposer p(i)= i^4-2i^3+3i^2-2i+2=0 ? 

 

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comment decomposer p(i)= i^4-2i^3+3i^2-2i+2=0 ?

p(i)= i^4-2i^3+3i^2-2i+2
     =(i²)²-2(i²)*i+3i²-2i+2
     =(-1)²+2i-3-2i+2
     =-2+2i-2i+2
     =0