Synthetic Division

Question

Find the Equation and remainder using synthetic division for :

( X³ + 6x²+ 11x + 14) / ( x + 2 )

The Quotient :

The Remaineder is :

Answer 1

Determining (x³ + 6x² + 11x + 14)/(x + 2) using synthetic division

we get 4 numbers, which are a, b, c, and r of the equation ax²+ bx + c + r/(x + 2)

–2| 1 6 11 14

–2 –8 –6

1 4 3 8

so a =1, b = 4, c = 3 and r = 8

(x³ + 6x²+ 11x + 14)/(x + 2) = x² + 4x + 3 + 8/(x + 2)

Answer

The Quotient: x² + 4x + 3

The Remainder is: 8/(x + 2)