Answer
(a) The quotient is $~~x^3+2x^2+2~~$ and the remainder is $~~9$
(b) The quotient is $~~x^3+2x^2+\frac{1}{2}~~$ and the remainder is $~~\frac{15}{2}$
Work Step by Step
(a) We can use synthetic division to find the quotient and remainder. The details of the synthetic division are given below.
The quotient is $~~x^3+2x^2+2~~$ and the remainder is $~~9$
(b) We can use long division to find the quotient and remainder. The details of the long division are given below.
The quotient is $~~x^3+2x^2+\frac{1}{2}~~$ and the remainder is $~~\frac{15}{2}$