Polynomial Grapher

Graph a polynomial with its real roots and turning points

Enter coefficients from the highest power down to the constant, separated by commas or spaces. Example: 1, -6, 11, -6 for x³ − 6x² + 11x − 6.

y = x³ − 6x² + 11x − 6
Degree
3
y-intercept
‎-6
Real roots
1, 2, 3
Turning points
  • Local maximum at x = 1.422649731, y = 0.3849001795
  • Local minimum at x = 2.577350269, y = ‎-0.3849001795
Cartesian graph of the polynomial with its real roots and turning points marked. y = x³ − 6x² + 11x − 6Cartesian graph of the polynomial with its real roots and turning points marked. y = x³ − 6x² + 11x − 6xy0.511.522.533.54-6-4-2246Local maximumLocal minimum