)Find a value of s such that x – 4 is a factor of f(x) = x3 - 2x2+ sx + 4.

Answer 1

division reveals that the remainder is 4s+36

so, if s = -9, the remainder is zero.

check:
x^3 - 2x^2 - 9x + 4 = (x-4)(x^2 + 2x - 1)