Answer:
2
Explanation:
The values of a, b, c are ...
a = 1, b = -3, c = 2
Then the discriminant is ...
d = b^2 -4ac
d = (-3)^2 -4(1)(2) = 9 -8 = 1
The discriminant is positive, so there are two x-intercepts.
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Additional comment
The indications given by the discriminant are ...
d > 0, 2 real roots (2 x-intercepts)
d = 0, 1 real root (1 x-intercept)
d < 0, 2 complex roots (0 x-intercepts)