What is the theorem that states if [tex] \Omega [/tex] is a polynom with degree > 1 with real coefficients. If there exists a complex number [tex] z = a + bi [/tex] such that [tex] \Omega(a+bi)=0 [/tex] then [tex] \overline{z} = a - bi [/tex] is also a root of [tex] \Omega [/tex]? For [tex] \Omega(x) = x^2 + px + q [/tex] with p and q real then if a+bi is a root then a-bi is also a root if [tex] b \neq 0 [/tex], that one is easy but I don't think it's easy for degree > 2 to prove it that's why I'm search for it's name.(adsbygoogle = window.adsbygoogle || []).push({});

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# Theorem name

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