Identifying Zeros and Their Multiplicities
f(x) = 5(x - 2)(x + 3)²(x - 1/2)4
Since it is already factored for you, it now becomes trivial.
By the "just look at it" theorem
x = 2, happens once
x = -3, happens twice
x = 1/2 , happens four times,
assuming the last part contains a typo, and you meant ..... (x-1/2)^4