WOLFRAM|DEMONSTRATIONS PROJECT

Synthetic Division (Ruffini's Rule)

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polynomial degree
4
new example
p(x) =
4
x
+4
3
x
-29
2
x
+24x
4
x
+4
3
x
-29
2
x
+24x
1
4
-29
24
0
1
1
5
-24
0
1
5
-24
0
0
3
x
+5
2
x
-24x
1
5
-24
0
3
3
24
0
1
8
0
0
2
x
+8x
1
8
0
-8
-8
0
1
0
0
x
1
0
0
0
1
0
p(x) = (x-3)(x-1)x(x+8)
Ruffini's rule is a method that allows the rapid division of a polynomial by a binomial of the form
x-r
, where
r
is one of the roots of the polynomial.