Answer :
To determine the degree of the polynomial
$$
7x^6 - 6x^5 + 2x^3 + x - 8,
$$
we follow these steps:
1. The degree of a polynomial is defined as the highest exponent of the variable $x$ that appears in the polynomial with a nonzero coefficient.
2. In the given polynomial, the term with the highest exponent is $7x^6$. The exponent in this term is $6$.
3. Therefore, the degree of the polynomial is $6$.
Thus, the correct answer is $6$, which corresponds to option D.
$$
7x^6 - 6x^5 + 2x^3 + x - 8,
$$
we follow these steps:
1. The degree of a polynomial is defined as the highest exponent of the variable $x$ that appears in the polynomial with a nonzero coefficient.
2. In the given polynomial, the term with the highest exponent is $7x^6$. The exponent in this term is $6$.
3. Therefore, the degree of the polynomial is $6$.
Thus, the correct answer is $6$, which corresponds to option D.
