Find the polynomial with real coefficients of the smallest possible degree for which i and 1 + i are zeros and in which the coefficient of the highest power is 1.

**Subject Mathematics Pre-Calculus**

Find the polynomial with real coefficients of the smallest possible degree for which i and 1 + i are zeros and in which the coefficient of the highest power is 1.

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Since i and 1+i are roots of this problem then -i and 1- i are also roots

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