The quotient of x³ + 10x² + 27x + 18 ÷ x + 6 using synthetic division is x² + 4x + 3 and the remainder is 0
Finding the quotient and remainder using synthetic division
From the question, we have the following parameters that can be used in our computation:
x³ + 10x² + 27x + 18 ÷ x + 6
The synthetic set up is
-6 | 1 10 27 18
|__________
Bring down the first coefficient, which is 1 and repeat the process
-6 | 1 10 27 18
|___-6_-24__-18___
1 4 3 0
This means that the quotient is
x² + 4x + 3
And the remainder is 0
Question
Use synthetic division to find the result when x³ + 10x² + 27x + 18 is divided by x + 6