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Question

Use synthetic division to find the quotient Q and remainder R when dividing
f(x)=x5+x4+x3+2x5 by x+i. (i=(1) imaginary unit)

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Solution

Let divide f(x)=x5+x34+x3+2x5 by x+i using synthetic division and we have

i 111025ii11i12i11ii12+i42i

Quotient=x4+(1i)x3ix2x+2+i
and Remainder=42i

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