STEP 3

It isn't hard to guess that x = 2 is a solution to the equation x^3-6*x+4 = 0 . Indeed,

2^3-12+4 = 0 .

Hence, x-2 is a factor of P(x) = x^3-6*x+4 . Perform long division; that is, divide P(x) by x-2 and think what to do next.