Compare function properties across representations, especially quadratic comparisons.
Compare two quadratic real-zero sets
Problem
Compare the real zeros of \(A(x)=(x-2)(x-6)\); \(B(x)=x(x-8)\).
Big Picture
What this problem is really about
Comparing zeros means comparing their values, multiplicities, and set relationship rather than only their counts. We’ll solve every factor equation, preserve repeats in multisets, form the distinct-zero sets, and then inspect their intersection and cardinalities separately.
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