File talk:Graph of cubic polynomial .png

y = 2x³ - 3x² - 3x + 2 = 2(x - ½)³ - 4½(x - ½) = (½)²(2x - 1)[(2x - 1)² - 3²] = 0
Selected cubic polynomial, in my opinion, is not characteristic since it easily can be reduced into depressed quadratic one due to x₁ = b/3a = -3/6 = ½ that leads up to
2qQ = 9abc - 27a²d - 2b³ = 9*2*(-3)*(-3) - 27*2²*2 - 2*(-3)³ = 0 and pP = b² - 3ac = 27
y = x³ - 2x² - x + 2 = (⅓)³[(3x - 2)³ - 21(3x - 2) + 20] = 0 and
2qQ = 9abc - 27a²d - 2b³ = 9*1*(-2)*(-1) - 27*1²*2 - 2*(-2)³ - 20 ≠ 0 and pP = b² - 3ac = 7
http://en.wikipedia.org/wiki/Talk:Cubic_function#Chebishew_radicals_-_inconsistency_and_replacement$4t^{3}-p*3t={\frac {Q}{\sqrt {P^{3}}}}={\frac {|9abc-27a^{2}d-2b^{3}|}{2{\sqrt {|b^{2}-3ac|^{3}}}}}=T\gtreqless 1,p=\pm 1\quad (3)$

⅓ ½ ¼