<p>I was wondering:</p>
<p>When you find possible zeros of a polynomial, how do you determine the amount of complex zeros? I know that using the descartes rule of signs, you can determine the positive real zeros and the negative real zeros, but what about the complex zeros?</p>
<p>I am a math retard. Thanks if you can help. :D</p>
<p>Find the degree of the polynomial, count up the number of real roots. Subtract this number from the degree, and you will have the number of complex roots. These always come in pairs. You can use division to find the quadratic with the complex roots, then solve by the quadratic formula.</p>
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[quote]
Find the degree of the polynomial, count up the number of real roots. Subtract this number from the degree, and you will have the number of complex roots. These always come in pairs. You can use division to find the quadratic with the complex roots, then solve by the quadratic formula.
[/quote]
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<p>Thanks! That's what I thought.</p>
<p>So, if a polynomial is of the 5th degree, and it has 3 or 1 real root with no negative roots, then it could have:</p>
<p>3 real zeros, 2 complex zeros </p>
<p>OR </p>
<p>1 real zero, 4 complex zeros</p>