Polynomial synthetic division: Difference between revisions

m
→‎{{header|Python}}: ahora funciona en Python 2.7 y 3.x
m (→‎{{header|Python}}: ahora funciona en Python 2.7 y 3.x)
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=={{header|Python}}==
Here is an extended synthetic division algorithm, which means that it supports a divisor polynomial (instead of just a monomial/binomial). It also supports non-monic polynomials (polynomials which first coefficient is different than 1). Polynomials are represented by lists of coefficients with decreasing degree (left-most is the major degree , right-most is the constant).
{{works with|Python 2.x7}}
{{works with|Python 3.x}}
<lang python># -*- coding: utf-8 -*-
<lang python>from __future__ import print_function
from __future__ import division
 
#!/usr/bin/python
# coding=UTF-8
 
def extended_synthetic_division(dividend, divisor):
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if __name__ == '__main__':
print ("POLYNOMIAL SYNTHETIC DIVISION")
N = [1, -12, 0, -42]
D = [1, -3]
print (" %s / %s =" % (N,D), " %s remainder %s" % extended_synthetic_division(N, D))
print " %s remainder %s" % extended_synthetic_division(N, D)
</lang>
 
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<pre>
POLYNOMIAL SYNTHETIC DIVISION
[1, -12, 0, -42] / [1, -3] = [1, -9, -27] remainder [-123]
</pre>
 
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