Question

Using C++

1) Write a program that repeatedly evaluates a n-th order polynomial p(x) = a0 + a1*x + a2*x^2 + ... + an*x^n where n <= 10 The program inputs n, ai, and x from the keyboard and then prints out the corresponding value of p to the screen. The program continues to input new values of n, ai, x and evaluates p until a negative value for n is input, at which point the program stops.

Answer 1

Program

#include <iostream>
#include<cmath>
using namespace std;

//main function
int main()
{
//variable declaration
double a[11], x;
int n;
//processing
while(1)
{
//prompt and read the order of the polynomial
cout<<"Enter n: ";
cin >> n;
//check if n is negative
if(n<0) break;
//read the coefficients of the polynomial
for(int i=0; i<=n; i++)
{
cout<<"Enter a"<<i<<": ";
cin>>a[i];
}
//prompt and read the value of x
cout<<"Enter x: ";
cin>>x;
//calculate the value of the polynomial
double sum = 0;
for(int i=0; i<=n; i++)
{
sum += a[i]*pow(x, i);
}
//display the value of the polynomial
cout<<"The value of the polynomial: "<<sum<<endl;
}

return 0;
}

Output:

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