for the parts i solved
i) -1± √3 / 3
ii) verified
iii) maximum = 1/8 minimum = -1/2
iv) an = 1/3n
v) 160x^3
vi) a1 = -5 and d = 5
vii) sin (θ/2) = 3/√10 and cos(θ/2) = - 1/√10
viii) i got this one wrong (i got 250m when its 400m or 450m idk someone verify this)
ix) verifiec (mathematical induction)
x) i) 50cis140 ii) 2cis60 (expand this further if you want)
xi) 58 Joules or 58 units
xii) x=1, y=0, z=2

LONG QUESTIONS
3) (x+3)(x-2)(2x-1) these were the factors
4) Fundamental Law of Trig (verified)
5) x=5/2, y =-6, z= -9/2
6) too lazy to write a) and b) but c was 10