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 [latex]\frac{2}{3}[/latex] and – [latex]\frac{5}{2}[/latex] are roots of the polynomial, since when x = [latex]\frac{2}{3}[/latex] or x = – [latex]\frac{5}{2}[/latex], he polynomial is equal to 0.