x=3; x=2
The factored form of the quadratic function is:
f(x) = a (x-3) (x-2)
y = (x-3)(x-2)
y = x² -5x + 6
In general form:
x² - 5x + 6 = 0
You may also find the quadratic equation given the roots through the Sum and Product of the Roots of the quadratic equation.
So given the roots 3, 2:
x² - (the sum of the roots)x + (product of the roots) = 0
x² - (3+2)x + (3×2) = 0
x² - (5)x + (6) = 0
x² - 5x + 6 = 0