Question

What are the terms of the polynomial 6x^2+(4)/(7)y^2-4x-45?
A. 6x^2, (4)/(7)y^2, 4x, and 45
B. 6, (4)/(7), -4, and -45
C. x^2, y^2, and -x
D. x^2, y^2, and x
E. 6x^2, (4)/(7)y^2, -4x, and -45

Answer 1

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 \( -45 \)**.