Fully factor the following polynomial eq,s using factor theorem andsynthetic division. a) x4 + 11x3 + 36x2 +16x - 64 b) 4x4 + 4x3 - 35x2 - 36x -9 Solution a) x4 + 11 x3 + 36x2 + 16x -64 = (x+4)(x3+7x2+8x-16) = (x+4)(x-1)(x+4)2 = (x-1)(x+4)3 b) 4x4 + 4x3 -35x2 -36x - 9 = (x+3)(4x3 -8x2 -11x -3) = (x+3)(x-3)(4x2 +4x + 1) = (x+3)(x-3)(2x+1)2.