What are the zeros of the polynomial function fx equals x3-4x2-12x?

Factor the equation and solve for x in each part.

x3-4x2-12x

Factor out an x right away

x (x² - 4x - 12)

factor the trinomial

x (x - 6) (x + 2)

now solve each for y=0

x=0, (x-6=0), (x+2=0)

The zeroes (solutions) to the equation are {-2 0 6 }■