Remainder-Factor Theorem Example
(x - 3)(x - 2)(x + 3) = x
3
- 2x
2
- 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.