What are the terms of the polynomial 6x^2+(4)/(7)y^2-4x-45?

The terms of a polynomial are the individual components that are summed together, which are typically formed by a coefficient multiplied by a variable raised to a power.

For the polynomial \( 6x^2 + \frac{4}{7}y^2 - 4x - 45 \), we identify the following terms:

1. \( 6x^2 \)
2. \( \frac{4}{7}y^2 \)
3. \( -4x \)
4. \( -45 \)

Therefore, the correct answer is:

E. \( 6x^2, \frac{4}{7}y^2, -4x, \) and \( -45 \).