Which polynomial function has a leading coefficient of 1 and roots (7 + i) and (5 – i) with multiplicity 1?

A factor for a root r is x − r, so the given roots contribute (x − (7 + i))(x − (5 − i)). For a polynomial with real coefficients, nonreal roots occur with their complex conjugates, 7 − i and 5 + i, as well. Choice C includes all four corresponding factors, each once, and its leading coefficient is 1.

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