Final answer:
The polynomial -10d^7 - 8d^4 has two terms and the degree of the polynomial is 7, since the highest power of the variable d is 7.
Step-by-step explanation:
The student asked to find the number of terms and the degree of the polynomial -10d^7 - 8d^4. The polynomial has two terms, which are -10d^7 and -8d^4. The degree of a polynomial is determined by the highest power of the variable present in the polynomial. The term -10d^7 has the highest exponent, which is 7, making the degree of the polynomial 7.