a. Find the values of a, b, c, d such that the following equation holds for x ER. 3 x^{4}-11 x^{3}+10 x^{2}-11 x-3=(x-3)\left(a x^{3}+b x^{2}+c x+d\right) b. Find the values

of a, b, c, d such that the following equation holds for z E C z^{4}-9 z^{3}+19 z^{2}+31 z-102=(z-4+i)\left(a z^{3}+b z^{2}+c z+d\right) where i is the imaginary unit.