What are the leading coefficient and degree of the polynomial?−8−2y−10y718y5Leading coefficient: Degree:

To determine the leading coefficient and the degree of the polynomial $-8 - 2y - 10y^7 + 18y^5$, follow these steps:

1. ### Break Down the Problem

We need to identify:

• The degree of the polynomial
• The leading coefficient of the polynomial

2. ### Relevant Concepts

• Degree of a Polynomial: The degree is the highest power of the variable in the polynomial.
• Leading Coefficient: The leading coefficient is the coefficient of the term with the highest degree.

3. ### Analysis and Detail

1. Identify Terms:

   • The polynomial can be rewritten in standard form as: $-10y^7 + 18y^5 - 2y - 8$
   • The terms are:
     • $-10y^7$ (degree 7)
     • $18y^5$ (degree 5)
     • $-2y$ (degree 1)
     • $-8$ (degree 0)

2. Degree Identification:

   • The highest degree is 7 from the term $-10y^7$.

3. Leading Coefficient Identification:

   • The leading coefficient is the coefficient of the term with the highest degree, which is -10 from $-10y^7$.

4. ### Verify and Summarize

• The degree of the polynomial is confirmed to be 7, and the leading coefficient is confirmed to be -10.

Final Answer

• Leading coefficient: $-10$
• Degree: $7$