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Question

If g(x)=x4x3+x2+3x5, find g(2+3i)

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Solution

g(x)=x4x3+x2+3x5
=x2(x2+1)x(x23)5
x=2+3i
x2=43+12i=1+12i
=(1+12i)(2+12i)(1+12i)(2+12i)5
=2+12i+24i144+2+24i12i+1445
=1+48i.

1194723_1158223_ans_69d6b45325d44c019abd781b063cb1c6.jpg

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