Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial. \( f(x)=-2+x^{4}-3 x^{7}+6 x^{6} \) Degree \( = \) Leading Coefficient \( = \) Maximum number of real zeros \( =\square \)

The degree of the polynomial \( f(x) = -2 + x^4 - 3x^7 + 6x^6 \) is determined by the term with the highest exponent. Here, the highest exponent is 7 from the term \( -3x^7 \), so the degree is 7. The leading coefficient is the coefficient of the term with the highest degree. In this case, the leading coefficient is \( -3 \) from the \( -3x^7 \) term. According to the Fundamental Theorem of Algebra, the maximum number of real zeros a polynomial can have is equal to its degree. Therefore, since the degree of this polynomial is 7, the maximum number of real zeros is 7. Degree \( = 7 \) Leading Coefficient \( = -3 \) Maximum number of real zeros \( = 7 \)