SOLUTION: form a polynomial with real coefficients of degree 2 so that 2+2i is zero

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Question 756872: form a polynomial with real coefficients of degree 2 so that 2+2i is zero
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Degree of 2, possible two zeros, and you must expect the conjugate of your given zero is also a zero. Your TWO zeros are 2+2i AND 2-2i.

Equation is %28x-%282%2B2i%29%29%28x-%282-2i%29%29=0
%28x-2-2i%29%28x-2%2B2i%29=0
%28%28x-2%29-2i%29%28%28x-2%29%2B2i%29=0
THE MULTIPLICATION GIVES DIFFERENCE OF TWO SQUARES
%28x-2%29%5E2-%282i%29%5E2=0
x%5E2-4x%2B4-4%2A%28-1%29=0
x%5E2-4x%2B4%2B4=0
highlight%28x%5E2-4x%2B8=0%29




EDITED: Corrected mistake.