Final answer:
The leading term of the polynomial −4x6+9x2−9x5−3 is −4x6 and the leading coefficient is −4.
Step-by-step explanation:
The question asks to identify the leading term and leading coefficient of the polynomial expression −4x6+9x2−9x5−3. The leading term of a polynomial is the term with the highest power of the variable, and the leading coefficient is the coefficient of the leading term.
To find these, first, arrange the terms of the polynomial in descending order of their exponents. The given expression rearranged is −4x6−9x5+9x2−3. The leading term, therefore, is −4x6 and the leading coefficient is −4.