exam Maths Puzzle Numerical Ability

if i represents the imaginary number whose square is -1,then (radical2 + radical2 x i)^4= ?

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exam Other Question

How do i prove the characterization of the internal angle bisector theorem: Let (P) be in the interior of an angle with arms L1 and L2 then (P) is on the angle bisector if and only if d(P,L1) = d(P,L2) Divide. Use synthetic division if possible
(8x^4+5x^3+4x^2-x+7)/(x+1)
(12x^3+31x^2-17x-6)/(x+3)

i need some major help with these 2 questions. i was given 110 questions, i need some help with these 2=/