Source: wikibot/complex-conjugate-root-theorem

= Complex conjugate root theorem
{wiki=Complex_conjugate_root_theorem}

The Complex Conjugate Root Theorem states that if a polynomial has real coefficients and a complex number \\( a + bi \\) (where \\( a \\) and \\( b \\) are real numbers and \\( i \\) is the imaginary unit) as a root, then its complex conjugate \\( a - bi \\) must also be a root of the polynomial.