Analytic Geometry and Calculus
Complex roots are solutions to polynomial equations that include imaginary numbers, typically expressed in the form $a + bi$, where $a$ and $b$ are real numbers and $i$ is the imaginary unit, defined as $ extit{i} = \sqrt{-1}$. These roots arise when the polynomial does not intersect the x-axis, indicating that it has no real solutions. The presence of complex roots indicates important characteristics about the polynomial, including symmetry in the roots for polynomials with real coefficients.
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