## Related questions with answers

Question

If one root of a polynomial equation with real coefficients is 4 + 2i, is it certain that 4 - 2i is also a root of the equation? Explain.

Solution

VerifiedAnswered 2 years ago

Answered 2 years ago

Step 1

1 of 2Yes. It is a direct consequence of a $\textbf{Conjugate Root Theorem}$ for a polynomial function with real coefficients.

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