Question

F(x) = -1/2x^2 + 3/2x - 2 I need to find the zeros​

Answer 1

{-1, 4}

Explanation:

In the given f(x) = -1/2x^2 + 3/2x - 2

set f(x) = 0 and then multiply all the numeric terms by -2 to remove the fractions:

f(x) = -1/2x^2 + 3/2x - 2 = 0 => 1x^2 - 3x - 4 = 0

This factors into (x - 4)(x + 1) = 0, whose roots are {-1, 4}. These are the zeros.