Final answer:
The correct polynomial of the 5th degree with a leading coefficient of 7 and a constant term of 6 is 7x^5+2x^2+6, which corresponds to option A. This expression is consistent with standard polynomial notation and fits the parameters provided by the student.
Step-by-step explanation:
The student is asking about the characteristics of a polynomial of the 5th degree. These characteristics are a leading coefficient of 7, and a constant term of 6.
Looking at the provided choices, the polynomial that matches these conditions is 7x5+2x2+6. This is choice A.
The polynomial is a mathematical expression consisting of variables and coefficients.
To solve an equation of the form ax2 + bx + c = 0, the quadratic formula can be utilized.
Furthermore, when doing algebra, it is important to eliminate terms wherever possible to simplify the equation and to check the answer to ensure it is reasonable.