The sum of the zeroes of the polynomial `2x^(2)-8x+6` is :

Options

A. `-3`
B. 3
C. `-4`
D. 4

Answer

To find the sum of the zeroes of the polynomial \(2x^2 - 8x + 6\), we can use the formula for the sum of the zeroes of a quadratic polynomial \(ax^2 + bx + c\), which is given by:

\[ \text{Sum of zeroes} = -\frac{b}{a} \]

### Step-by-step Solution:

1. **Identify the coefficients**:
The given polynomial is \(2x^2 - 8x + 6\).
Here, \(a = 2\), \(b = -8\), and \(c = 6\).

2. **Apply the formula for the sum of zeroes**:
Using the formula:
\[ \text{Sum of zeroes} = -\frac{b}{a} \]
Substitute the values of \(b\) and \(a\):
\[ \text{Sum of zeroes} = -\frac{-8}{2} \]

3. **Simplify the expression**:
\[ \text{Sum of zeroes} = \frac{8}{2} = 4 \]

4. **Conclusion**:
The sum of the zeroes of the polynomial \(2x^2 - 8x + 6\) is \(4\).

### Final Answer:
The sum of the zeroes is \(4\).