# Multiply one polynomial to another in Python

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#### Beyond Basic Programming - Intermediate Python

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To multiply one polynomial to another, use the numpy.polynomial.polynomial.polymul() method in Python. Returns the multiplication of two polynomials c1 + c2. The arguments are sequences of coefficients from lowest order term to highest, i.e., [1,2,3] represents the polynomial 1 + 2*x + 3*x**2.

The method returns the coefficient array representing their sum. 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 multiply one polynomial to another, use the numpy.polynomial.polynomial.polymul() method in Python −

mulRes = P.polymul(p1,p2);
print("\nResult (Multiply)...\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 multiply one polynomial to another, use the numpy.polynomial.polynomial.polymul() method in Python.
mulRes = P.polymul(p1,p2);
print("\nResult (Multiply)...\n",mulRes)

## Output

Polynomial 1...
(4, 1, 6)

Polynomial 2...
(2, 5, 3)

Result (Multiply)...
[ 8. 22. 29. 33. 18.]