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Algebra

Question number 3.Find the value of x3+7x2-x+16, where x= 1+2i

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Profile image of Swati Jha
8 Years agoGrade
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1 Answer

Profile image of Arun
ApprovedApproved Tutor Answer8 Years ago
Dear Swati
 
x = 1 +2i
hence
x – 1 = 2i
squaring the both sides
 
x^2 + 1 – 2x = – 4
hence
x^2 – 2x + 5 = 0
 
now 
divide the given polynomial by ( x^2 – 2x + 5 ) , remainder will be the answer.
 
Regards
Arun (askIITians forum expert)