# How to subtract one polynomial to another using NumPy in Python?

In this article, let’s discuss how to subtract one polynomial to another. Two polynomials are given as input and the result is the subtraction of two polynomials.

• 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 q(x) then subtract these to get r(x) = p(x) – q(x) as a result of subtraction of two input polynomials.
If p(x) = A3 x2 + A2 x + A1
and
q(x) = B3 x2 + B2 x + B1

then result is
r(x) = p(x) - q(x) i.e;
r(x) = (A3 - B3) x2 + (A2 - B2) x + (A1 - B1)

and output is
( (A1 - B1), (A2 - B2), (A3 - B3) ).

In NumPy, it can be solved using the polysub() method. This function helps to find the difference of two polynomials and then returning the result as a polynomial

Below is the implementation with some examples :

Example 1:  Using  polysub()

## Python3

 # importing package import numpy   # define the polynomials # p(x) = 5(x**2) + (-2)x +5 px = (5,-2,5)   # q(x) = 2(x**2) + (-5)x +2 qx = (2,-5,2)   # subtract the polynomials rx = numpy.polynomial.polynomial.polysub(px,qx)   # print the resultant polynomial print(rx)

Output :

[ 3.  3.  3.]

Example 2: sub_with_decimals

## Python3

 # importing package import numpy   # define the polynomials # p(x) = 2.2 px = (0,0,2.2)   # q(x) = 9.8(x**2) + 4 qx = (9.8,0,4)   # subtract the polynomials rx = numpy.polynomial.polynomial.polysub(px,qx)   # print the resultant polynomial print(rx)

Output :

[-9.8  0.  -1.8]

Example 3:  #eval_then_sub

## Python3

 # importing package import numpy   # define the polynomials # p(x) = (5/3)x px = (0,5/3,0)   # q(x) = (-7/4)(x**2) + (9/5) qx = (-7/4,0,9/5)   # subtract the polynomials rx = numpy.polynomial.polynomial.polysub(px,qx)   # print the resultant polynomial print(rx)

Output :

[ 1.75        1.66666667 -1.8       ]

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