Final answer:
In this case, the highest exponent is 6, so the degree of the polynomial is 6. The leading coefficient is the coefficient of the term with the highest degree, which is -1 in this polynomial.
Step-by-step explanation:
The given polynomial can be written in standard form by arranging the terms in decreasing order of their exponents.
So, the polynomial 9 - 3m m⁴ - 7m - m⁶ 2 can be rearranged as:
-m⁶ + m⁴ - 7m - 3m + 9
Therefore, the polynomial in standard form is -m⁶ + m⁴ - 10m + 9.
The degree of a polynomial is the highest exponent of the variable. In this case, the highest exponent is 6, so the degree of the polynomial is 6.
The leading coefficient is the coefficient of the term with the highest degree, which is -1 in this polynomial.