How do you find the zeros?
g(x) = x3 – x2 – 4x + 4
Use this notation to indicate exponents:
x^3 - x^2 - 4x + 4 = 0
grouping will work
x^2(x - 1) - 4(x - 1) = 0
(x-1)(x^2 - 4) = 0
(x-1)(x+2)(x-2) = 0
so
x = 1 , -2 , +2
g(x) = x3 – x2 – 4x + 4
x^3 - x^2 - 4x + 4 = 0
grouping will work
x^2(x - 1) - 4(x - 1) = 0
(x-1)(x^2 - 4) = 0
(x-1)(x+2)(x-2) = 0
so
x = 1 , -2 , +2