Viewing insights from Codeforces 1857F: Sum and Product that are similar (thus shared) with only this insight from 2022 AMC 12B Problem 3: If product of roots is the constant term in a quadratic (with leading coefficient as 1), implies that "the roots of a quadratic are one of the factor-pairs of the constant term". When the constant term is integer, this is especially simple to apply. by SXZZ5
- With restrictions on sum and product, we can calculate the values of the pair using Viete's formula. Count the number of pairs that satisfy using simple combinatorics. by Koyote
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