Python Program to Compute a Polynomial Equation given that the Coefficients of the Polynomial are stored in a List

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Given Coefficients of the polynomial and x which are stored in the list, the task is to compute the value of the polynomial equation with given x from the given Coefficients in Python.

Examples:

Example1:

Input:

given coefficient list = [7, 1, 3, 2]

Output:

The total value of the given polynomial 7 x^3 +1 x^2 +3 x +2 with the given value of x=5 is 917

Example2:

Input:

 given coefficient list = [3, 9, 1, 2]

Output:

The total value of the given polynomial 3 x^3 +9 x^2 +1 x +2 with the given value of x 6 = 980

Program to Compute a Polynomial Equation given that the Coefficients of the Polynomial are stored in a List

There are several ways to compute the value of the polynomial equation with given x from the given Coefficients in Python some of them are:

Using for and while loop(User Input)
Using for and while loop(Static Input)

Method #1:Using for and while loop(User Input)

Approach:

Import the math module.
Take a empty list.
Loop from 1 to 4 using for loop as there are 4 coefficients terms in the equation.
Scan the coefficient as user input using int(input()) function.
Add this to the list using append() function.
Scan the value of x as user input using int(input()) function.
To compute the value of the polynomial expression for the first three terms, use a for loop and a while loop and store it in a sum variable.
To the total variable, add the fourth term.
The computed value should be printed.
Exit of program.

Below is the implementation:

import math
# Take a empty list.
coefflist = []
# Loop from 1 to 4 using for loop as there are 4 coefficients terms in the equation.
for t in range(4):
    # Scan the coefficient as user input using int(input()) function.
    elemen = int(input('Enter some random coefficient ='))
    # Add this to the list using append() function.
    coefflist.append(elemen)
# Scan the value of x as user input using int(input()) function.
x = int(input('Enter some random value of x ='))
# Taking a variable which stores totalValue and initialize it with 0
totalValue = 0
temp = 3
for k in range(0, 3):
    while(temp > 0):
        totalValue = totalValue+(coefflist[k]*(x**temp))
        # breaking the while looop
        break
    temp = temp-1
# To the total variable, add the fourth term.
totalValue = totalValue+coefflist[3]
print("The total value of the given polynomial " +
      str(coefflist[0])+' x^3 +'+str(coefflist[1])+' x^2 +'+str(coefflist[2])+' x +' +
      str(coefflist[3]), 'with the given value of x=', x, 'is', totalValue)

Output:

Enter some random coefficient =1
Enter some random coefficient =9
Enter some random coefficient =3
Enter some random coefficient =5
Enter some random value of x =8
The total value of the given polynomial 1 x^3 +9 x^2 +3 x +5 with the given value of x= 8 is 1117

Explanation:

The math module has been imported.
The user must enter the polynomial coefficients, which are saved in a list.
In addition, the user must input the value of x.
The for loop, which is used to retrieve the coefficients in the list, changes the value of I from 0 to 2.
The power for the value of x is determined by the value of j, which varies from 3 to 1.
This method is used to compute the values of the first three terms.
The final term is added to the total.
The final calculated value is printed.

Method #2: Using for and while loop(Static Input)

Approach:

Import the math module.
Take in the polynomial equation coefficients as static input in given list.
Give the value of x as static input.
To compute the value of the polynomial expression for the first three terms, use a for loop and a while loop and store it in a sum variable.
To the total variable, add the fourth term.
The computed value should be printed.
Exit of program.

Below is the implementation:

import math
# Take in the polynomial equation coefficients as static input in given list.
coefflist = [7, 1, 3, 2]
# Give the value of x as static input.
x = 5
# Taking a variable which stores totalValue and initialize it with 0
totalValue = 0
temp = 3
for k in range(0, 3):
    while(temp > 0):
        totalValue = totalValue+(coefflist[k]*(x**temp))
        # breaking the while looop
        break
    temp = temp-1
# To the total variable, add the fourth term.
totalValue = totalValue+coefflist[3]
print("The total value of the given polynomial " +
      str(coefflist[0])+' x^3 +'+str(coefflist[1])+' x^2 +'+str(coefflist[2])+' x +' +
      str(coefflist[3]), 'with the given value of x=', x, 'is', totalValue)

Output:

The total value of the given polynomial 7 x^3 +1 x^2 +3 x +2 with the given value of x=5 is 917

Explanation:

The for loop, which is used to retrieve the coefficients in the list, changes the value of I from 0 to 2.
The power for the value of x is determined by the value of j, which varies from 3 to 1.
This method is used to compute the values of the first three terms.
The final term is added to the total.
The final calculated value is printed.

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