Marking ! what are the x-intercepts of the quadratic function y=x^2-3x+2 a: 2 and 1 b: -2and 1 c: 2 and -1 d: 1

X-intercepts are points where the graph intersects the x-axis, i.e. when y=0.

Substitute y=0 and solve for x:
y=x^2-3x+2
0=x^2-3x+2
0=(x-2)(x-1)

By the zero product property, we deduce x-2=0 or x-1=0, i.e. x=1 or x=2.