## Polynomial Expression

Here you will see how to evaluate a polynomial using C program. The evaluation means what would be the final result of the polynomial expression.

A Polynomial is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients.

In mathematics, a polynomial expression consists of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables.

For example, a polynomial can be represented as `2+3x^2+5x^4`

. So it is required to evaluate the value of the above polynomial expression when a particular value of `x`

is specified. For instance, for a given value `1`

of `x`

, the expression can be evaluated as:

`2 + 3.1^2 + 5.1^4 = 2 + 3 + 5 = 10`

## Evaluation using C Program

Now I will implement the C program to evaluate the polynomial expression.

```
#include <stdio.h>
#include <stdlib.h>
typedef struct termType {
int coefficient, exponent;
} termType;
typedef struct poly {
termType terms[100];
int noOfTerms;
} poly;
double evaluate(poly *p, double x) {
int i, j;
double term, result = 0;
term = 1;
for(i=0; i<p->noOfTerms; i++) {
for(j=0; j<p->terms[i].exponent; j++) {
term *= x;
}
result += term*p->terms[i].coefficient;
term = 1;
}
return result;
}
int main() {
termType t1, t2, t3;
poly *p;
double result;
p = malloc(sizeof (poly));
t1.coefficient = 5;
t1.exponent = 4;
t2.coefficient = 3;
t2.exponent = 2;
t3.coefficient = 2;
t3.exponent = 0;
p->terms[0] = t1;
p->terms[1] = t2;
p->terms[2] = t3;
p->noOfTerms = 3;
result = evaluate(p, 1);
printf("Result: %lf", result);
result = evaluate(p, 2);
printf("\nResult: %lf", result);
return 0;
}
```

Executing the above program would give you below result:

```
Result: 10.000000
Result: 94.000000
```

That’s all about the evaluation of polynomial using C program.