Division of Polynomials


The following examples use the box
type method of expanding brackets
(illustrated in the first slide) to reverse
the process and divide one polynomial
by another.
These slides are taken from a presentation By Kevin Hannah from the
Secondary Numeracy Project. February 2005.
Expanding Expressions
(2x+3)(2x+1)
2
4x
2x
3
2
4x
6x
2x
3
+8x +3=
2x
1
(2x+3)(2x+1)
Polynomial Division
2
(2x +5x+3)/(x+1)
=2x
2
2x
+5x
+ 3
2
2x
3x
x
2x
3
1
+3
Polynomial Division
2
(3x +4x+5)/(x+1)
=3x
+ 1 +
2
3x
x
4
X+1
x
4
3x
2
3x
+4x
+5
1
1
Polynomial Division
2
(3x -4x+5)/(x+1)
=3x
2
3x
- 7
+
12
X+1
-7x
x
12
3x
2
3x
-4x
+5
-7
1