3. (a) Find the first 4 terms, in ascending powers of x, of the binomial expansion of kx where & is a non-zero constant. Give each term in simplest form. (4) kx f(x) = (5 - 3x) 2- In the expansion of f(x), the constant term is 3 times the coefficient of x. (b) Find the value of k. (3)\fLeave blank 5. [(x) = 3x + Ax + Bx - 10 where A and B are integers. Given that when f(x) is divided by (x - 1) the remainder is k when f(x) is divided by (x + 1) the remainder is -10k WHHY SIHL NI BLIM ION DO . k is a constant (a) show that 114 +98 = 83 (3) Given also that (3x - 2) is a factor of f(x), (b) find the value of A and the value of B. (3) (c) Hence find the quadratic expression g(x) such that f(x) = (3x - 2)g(x) (2)