What is the discriminant of the function 2x(to the 2nd power)-3x+1?

3^2 -(4)(2)(1) = 1

Equation: 2x^2 - 3x + 1
Just as long as your equation is quadratic in form, the x is not used here. Now we have to assign letters to each term where:
a=2 (from 2x^2)
b=-3 (from -3x)
c=1 (from +1)
to find the discriminant use this formula: b^2 -4ac (this is part of the quadratic formula)
that is (-3)^2-4(2)(1)
9-8
=1 is your discriminant