What you said is not the proof. When you study a lot of math. You come upon proofs that can help you understand and appreciate formulas, theorems, rules and etc... For example: what is the proof of the quadratic formula? This means, where did the quadratic formula come from. So we do some algebra and we find what x equals to in the equation ax^2+bx+c=0

According to me it tells us that the number of positive real zeros in a polynomial function f(x) is the same or less than by an even numbers.

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