Product of roots (Vieta's)
Find the product of all roots directly from coefficients — no solving needed.
p(x) =
Vieta's formula for products
For ax²+bx+c = 0: Product of roots = c/a.
For x²−5x+6: product = 6/1 = 6. (Roots are 2 and 3, and 2×3 = 6 ✓)
Sign interpretation
Positive product → roots have same sign. Negative product → roots have opposite signs.
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