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Question

Find the value of x3+7x2x+16, where x=1+2i

A
17+24i
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B
24+17i
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C
1724i
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D
2417i
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Solution

The correct option is A 17+24i
x2=(1+2i)2=1+4i2+4i=4i3
x3=x×x2=(1+2i)(4i3)=4i+8i236i=2i11
x3+7x2x+16=24i17
17+24i


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