# Root of a Polynomial

## Root of a Polynomial

Real number that makes the polynomial function associated with the polynomial equal to zero.

### Examples

• Consider the polynomial x2 – 7x + 12.
The numbers 4 and 3 are roots of the polynomial; since, when x = 4 or x = 3, the polynomial is equal to 0.
• Consider the polynomial 6x2 + 11x – 10.
The numbers $$\frac{2}{3}$$ and – $$\frac{5}{2}$$ are roots of the polynomial, since when x = $$\frac{2}{3}$$ or x– $$\frac{5}{2}$$, he polynomial is equal to 0.