Remainder-Factor Theorem Example

(x - 3)(x - 2)(x + 3) = x3 - 2x2 - 9x + 18

Let's check to see if 3, 2 and -3 go evenly into the polynomial.

3| 1 -2 -9 18
3 3 -18

1 1 6 0


2| 1 -2 -9 18
2 0 -18

1 0 -9 0


-3| 1 -2 -9 18
-3 15 -18

1 -5 6 0


All 3 numbers go evenly into the polynomial demonstrating our Factor and Remainder Theorem.