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How to divide a polynomial to another using NumPy in Python?
• Last Updated : 29 Aug, 2020

In this article, we will make a NumPy program to divide one polynomial to another. Two polynomials are given as input and the result is the quotient and remainder of the division.

• The polynomial p(x) = C3 x2 + C2 x + C1  is represented in NumPy as : ( C1, C2, C3 ) { the coefficients (constants)}.
• Let take two polynomials p(x) and g(x) then divide these to get quotient q(x) = p(x) // g(x) and  remainder r(x) = p(x) % g(x) as a result.
```If p(x) = A3 x2 + A2 x + A1
and
g(x) = B3 x2 + B2 x + B1

then result is
q(x) = p(x) // g(x) and r(x) = p(x) % g(x)

and the output is coefficientes of remainder and
the coefficientes of quotient.
```

This can be calculated using the polydiv() method. This method evaluates the division of two polynomials and returns the quotient and remainder of the polynomial division.

Syntax:

`numpy.polydiv(p1, p2)`

Below is the implementation with some examples :

Example 1 :

## Python3

 `# importing package``import` `numpy`` ` `# define the polynomials``# p(x) = 5(x**2) + (-2)x +5``px ``=` `(``5``, ``-``2``, ``5``)`` ` `# g(x) = x +2``gx ``=` `(``2``, ``1``, ``0``)`` ` `# divide the polynomials``qx, rx ``=` `numpy.polynomial.polynomial.polydiv(px, gx)`` ` `# print the result``# quotiient``print``(qx)`` ` `# remainder``print``(rx)`

Output :

```[-12.   5.]
[ 29.]```

Example 2 :

## Python3

 `# importing package``import` `numpy`` ` `# define the polynomials``# p(x) = (x**2) + 3x + 2``px ``=` `(``1``,``3``,``2``)`` ` `# g(x) = x + 1``gx ``=` `(``1``,``1``,``0``)`` ` `# divide the polynomials``qx,rx ``=` `numpy.polynomial.polynomial.polydiv(px,gx)`` ` `# print the result``# quotiient``print``(qx)`` ` `# remainder``print``(rx)`

Output :

```[ 1.  2.]
[ 0.]
```

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