Problem 6.1 Let S denote the set of all polynomials in one variable with no real coefficients. For example, 3+=+= x + 7x²³+4x²³ € 5. S has a familiar definition of addition and multiplication. Moreover, S has an additive identity, the constant polynomial 0, and a multiplicative identity, the constant polynomial 1. Is Sa field? Explain your answer.

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