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P(x) is a polynomial with real coefficients such that P(2+i)=4-3i. There is a linear function Q(x)=ax+b with real coefficients such that Q(2+i)=P(2+i). Find Q(x).

 

P(x) is a polynomial with real coefficients such that P(2+i)=4-3i. Find P(2-i)

 

Suppose that P(x) is a polynomial with rational coefficients that has roots at x = 1, x = i, x = sqrt2, and x = 1 + sqrt3. What is the smallest possible degree of P(x)?

 Jan 19, 2019
edited by somebody  Jan 19, 2019
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As follows:

 

 Jan 19, 2019

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