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To determine the leading term of a polynomial, we identify the term with the highest power of the variable \( x \).

The polynomial given is:

\[
1 + 2x - 6x^3
\]

In this polynomial:
- The term \( 1 \) has a degree of 0 (no \( x \) term).
- The term \( 2x \) has a degree of 1.
- The term \( -6x^3 \) has a degree of 3.

Since \( -6x^3 \) has the highest degree (3), it is the leading term.

**Answer:**
The leading term is \( -6x^3 \).

Would you like further explanation on this? 

Here are 5 related questions for additional practice:

1. What is the leading term of \( 3x^4 - 7x^2 + x - 2 \)?
2. How do you find the leading term in a polynomial with multiple variables?
3. If the leading term of a polynomial is \( 5x^4 \), what is the degree of the polynomial?
4. What effect does the leading coefficient have on the end behavior of a polynomial function?
5. How would the leading term of \( 2x^5 + 3x^3 - 4x^2 + 1 \) influence its graph?

**Tip:** The leading term of a polynomial helps determine the general shape and behavior of its graph, especially as \( x \) approaches very large or very small values.

Determine the leading term of 1 + 2x - 6x^3.

Learn how to determine the leading term of the polynomial 1 + 2x - 6x^3. This problem covers essential algebra concepts related to polynomials and their degrees. Suitable for students in Grades 8-10.

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