Relation Between Roots and Constant Term

Relation Between Roots and Constant Term

## Formula

For:

$$ax^2+bx+c=0$$

with roots $$\alpha,\beta$$:

$$\alpha\beta=\frac ca$$

Hence:

$$c=a\alpha\beta$$

## Conditions / Special Cases

If:

$$c=0$$

then:

$$\alpha\beta=0$$

Therefore, at least one root is zero.

## Usage

- Used to quickly identify whether zero is a root and determine the product of roots.