Checkpoint: Synthetic Division with Integers Solutions

Find the quotient using synthetic division.

$(x^{4} - 6 x^{3} + 21 x + 31) {(x - 4)}^{- 1}$

$x^{3} - 2 x^{2} - 8 x - 11 - \frac{13}{x - 4}$

Note

Q: What are the coefficients and constant of the dividend?
A: coefficients: 1, –6, 21, constant: 31 

Q: What is the value of the divisor you will use (top left corner)?
A: 4

The synthetic division table should include two more columns than the degree of the dividend.