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Divide one polynomial by another in Python
To divide one polynomial by another, use the numpy.polynomial.polynomial.polydiv() method in Python. Returns the quotient-with-remainder of two polynomials c1 / c2. The arguments are sequences of coefficients, from lowest order term to highest, e.g., [1,2,3] represents 1 + 2*x + 3*x**2.
The method returns the array of coefficient series representing the quotient and remainder. The parameters c1 and c2 are the 1-D arrays of coefficients representing a polynomial, relative to the “standard” basis, and ordered from lowest order term to highest.
This numpy.polynomial.polynomial module provides a number of objects useful for dealing with polynomials, including a Polynomial class that encapsulates the usual arithmetic operations.
Steps
At first, import the required libraries −
from numpy.polynomial import polynomial as P
Declare Two Polynomials −
p1 = (4,1,6) p2 = (2,5,3)
Display the polynomials −
print("Polynomial 1...\n",p1)
print("\nPolynomial 2...\n",p2)
To divide one polynomial by another, use the numpy.polynomial.polynomial.polydiv() method in Python −
mulRes = P.polydiv(p1,p2);
print("\nResult (divide)...\n",mulRes)
Example
from numpy.polynomial import polynomial as P
# Declare Two Polynomials
p1 = (4,1,6)
p2 = (2,5,3)
# Display the polynomials
print("Polynomial 1...\n",p1)
print("\nPolynomial 2...\n",p2)
# To divide one polynomial by another, use the numpy.polynomial.polynomial.polydiv() method in Python.
mulRes = P.polydiv(p1,p2);
print("\nResult (divide)...\n",mulRes)
Output
Polynomial 1... (4, 1, 6) Polynomial 2... (2, 5, 3) Result (divide)... (array([2.]), array([ 0., -9.]))
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