https://file.aiquickdraw.com/mathbot/file/1727889198860uuafgnfb.jpg

The given polynomial is:

\[
-18u^5 - 7 + 12u^6 - 12u
\]

To find the leading coefficient and the degree of this polynomial:

### Step 1: Rearrange the terms
We need to arrange the polynomial in descending order of the powers of \( u \):

\[
12u^6 - 18u^5 - 12u - 7
\]

### Step 2: Identify the degree
The degree of a polynomial is the highest power of the variable \( u \). In this case, the highest power is \( u^6 \), so the degree is **6**.

### Step 3: Identify the leading coefficient
The leading coefficient is the coefficient of the term with the highest degree. In this case, the term with the highest degree is \( 12u^6 \), and its coefficient is **12**.

### Final Answer:
- Leading coefficient: **12**
- Degree: **6**

Would you like further details or explanations?

Here are 5 related questions to explore:
1. How do you find the degree of a polynomial with multiple variables?
2. What is the significance of the leading coefficient in the behavior of the graph?
3. How does the degree of a polynomial affect its end behavior?
4. Can a polynomial have a negative degree?
5. What happens when the leading coefficient is zero?

**Tip:** Always arrange polynomials in descending order to easily identify the leading coefficient and degree.

What are the leading coefficient and degree of the polynomial -18u^5 - 7 + 12u^6 - 12u?

Learn how to find the leading coefficient and degree of the polynomial -18u^5 - 7 + 12u^6 - 12u. This algebra problem involves key polynomial concepts. Suitable for students in Grades 9-11.

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