Okay, I fully understand that complex zeros exist in conjugate pairs, but what about irrational zeros; it would appear as though this would apply to them as well. Am I mistaken?

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Also, how do you find the coefficients of of the leading terms of a rational function? Would I substitute an x and y value in and solve in the form of: y=a_1(x-b)/a_2(x-c), where b and c are the constants, and a_1 and a_2 are the leading coefficients, which I would solve individually?