VI. Given that w is a complex root of the equation 25 1 = O and is such that it has the smallest positive argument, show that w2, W3, and w4 are the other complex roots. (a) Hence show that 1 + w + w2 + W3 + W4 = 0. (b) F actorize 25 1 into real linear and quadratic factors. 41! Hence deduce that i. 2 [cos (2%) + cos ()] 5 1 ii. 4cos (2%) c056?) = 1