Table of Polynomials
| Polynomial | Sum of Roots | Sum of products of root pairs | Sum of products of root triplets |Sum of products of root quartets|
|----------------|------------------|-----------------------------------|--------------------------------------|-------------------------------|
| Quadratic | \(\alpha+\beta=-\frac{b}{a}\) | \(\alpha\beta=\frac{c}{a}\) | N/A | N/A |
| Cubic | \(\alpha+\beta+\gamma=-\frac{b}{a}\) | \(\alpha\beta+\alpha\gamma+\beta\gamma=\frac{c}{a}\) | \(\alpha\beta\gamma=-\frac{d}{a}\) | N/A |
| Quartic | \(\alpha+\beta+\gamma+\delta=\frac{-b}{a}\) | \(\alpha\beta+\alpha\gamma+\alpha\delta+\beta\gamma+\beta\delta+\gamma\delta=\frac{c}{a}\) | \(\alpha\beta\gamma+\alpha\beta\delta+\alpha\gamma\delta+\beta\gamma\delta=\frac{-d}{a}\) | \(\alpha\beta\gamma\delta=\frac{e}{a}\) |