From the given problem,
Using synthetic division to find the quotient of the expression.
Reaarrange first the expression based on the degree from highest to smallest.
As you notice, there is no x^1 term, so we will add 0x.
Take the coefficients of the numerator then proceed to use the synthetic division.
The coefficients are 2, 3, 0 and 2
The last number at the lower left will be the remainder and the coefficients of the quotient are 2, -1 and 2
This will be :
Note that the remainder is written as r/divisor
r = -2 and the divisor is x+2
Therefore, the answer is :