Which option has degree (8) and coefficient of (x^7) equal to (0)?

Correct answer: (4x^8-3x^6+2)

To identify the required polynomial, check two conditions separately: its greatest exponent must be 8, and the coefficient of \\(x^7\\) must be zero. In option A, the polynomial is \\(4x^8-3x^6+2\\). Its leading term is \\(4x^8\\), so its degree is 8. There is no \\(x^7\\) term, which means its coefficient is 0. Therefore option A satisfies both conditions.

Option B has an \\(x^7\\) term with coefficient 1, so it fails the second condition. Option C has degree 7 rather than 8, while option D has degree 9. Thus only the first polynomial has degree 8 and a zero coefficient for \\(x^7\\).