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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)?

Expert avatar
Eliseo
4.6
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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