Postać iloczynowa:
y = a(x - x₁)(x - x₂)
[tex]y = x^{2}-14x + 33\\\\a = 1, \ b = -14, \ c = 33\\\\\Delta = b^{2}-4ac = (-14)^{2}-4\cdot1\cdot33 = 196-132=64\\\\\sqrt{\Delta} = \sqrt{64} = 8\\\\x_1 = \frac{-b-\sqrt{\Delta}}{2a} = \frac{14-8}{2} = \frac{6}{2} = 3\\\\x_2 = \frac{-b+\sqrt{\Delta}}{2a} = \frac{14+8}{2} = \frac{22}{2} = 11[/tex]
y = (x - 3)(x - 11) - postać iloczynowa