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Additional Problem: Suppose we know that 1+i is a solution to the equation a_0+ a_1 z...

Additional Problem: Suppose we know that 1+i is a solution to the equation

a_0+ a_1 z + a_2 z^2 + ... +a_n z^n=0,

where the coefficients a_0, a_1, a_2, etc are all real numbers. Can you find another solution to the equation? If yes, what is it? Explain why.

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