If the sum and product of zeroes of the polynomial are 7 and `-5` respectively, the quadratic polynomial is :

Options

A. `x^(2)-7x-5`
B. `x^(2)+7x-5`
C. `x^(2)-7x+5`
D. `x^(2)+7x+5`.

Explanation

To find the quadratic polynomial given the sum and product of its zeros, we can follow these steps:

### Step 1: Understand the relationship between zeros and the polynomial
For a quadratic polynomial of the form \( p(x) = x^2 - (sum \ of \ zeros)x + (product \ of \ zeros) \), we need to know the sum and product of the zeros.

### Step 2: Identify the given values
From the problem, we know:
- Sum of zeros = 7
- Product of zeros = -5

### Step 3: Substitute the values into the polynomial formula
Using the formula for the quadratic polynomial:
\[ p(x) = x^2 - (sum \ of \ zeros)x + (product \ of \ zeros) \]
we can substitute the values:
\[ p(x) = x^2 - (7)x + (-5) \]

### Step 4: Simplify the polynomial
Now, simplifying the expression:
\[ p(x) = x^2 - 7x - 5 \]

### Final Answer
Thus, the required quadratic polynomial is:
\[ \boxed{x^2 - 7x - 5} \]