Suppose I tell you that one root of a polynomial function, f(x), is 4+3i . What must also be a root of f(x)?

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Answer to a math question Suppose I tell you that one root of a polynomial function, f(x), is 4+3i . What must also be a root of f(x)?

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Eliseo

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110 Answers

1. Given that $4+3i$ is a root.
2. For polynomials with real coefficients, complex roots always appear in conjugate pairs.
3. Therefore, the complex conjugate $4-3i$ must also be a root.

Answer:

4-3i

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