Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder in each of the following

Divide the polynomial p(x) by the polynomial g(x) and find the quotient and remainder

in each of the following 

(i)p(x) = x³ – 3x² + 5x – 3, g(x) = x² – 2

So quotient = x-3 and remainder 7x - 9

(ii)p(x) = x⁴ – 3x² + 4x + 5, g(x) = x² + 1 – x

So  quotient = x² +x-3 and remainder 8

(iii) p(x) = x⁴ – 5x + 6, g(x) = 2 – x²

So  quotient = -x² -2 and remainder -5x +10