Q. 16 B4.2( 5 Votes )

Evaluate the foll

Answer :

Given:


x=3+2i


x4-4x3+4x2+8x+44


(3+2i)4-4(3+2i)3+4(3+2i)2+8(3+2i)+44


(34+4(3)3(2i)+6(3)2(2i)2+4(3)(2i)3+(2i)4)-4(33+3(3)2(2i)+3(3)(2i)2+(2i)3)+4(32+(2i)2+2(3)(2i))+24+16i+44


81+216i+216i2+96i3+16i4-108-216i-144i2-32i3+36+16i2+48i+24+16i+44


We know that i2=-1


77+64i+88i2+64i3+16i4


77+64i+88(-1)+64(-1)(i)+16(-1)2


5


x4-4x3+4x2+8x+44=5


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