Determine the leading coefficient in the polynomial $$ -4x^{4} + x^{2} - 6 $$.

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UpStudy AI · Accepted Answer

The leading coefficient of a polynomial is the coefficient of the term with the highest degree (the highest power of $$ x $$).

Given the polynomial:
$$
-4x^{4} + x^{2} - 6
$$

1. **Identify the highest power of $$ x $$:**
   - The exponents of $$ x $$ are 4, 2, and 0 (for the constant term $$-6$$).
   - The highest power is **4**.

2. **Determine the coefficient of the highest power term:**
   - The term with $$ x^4 $$ is $$-4x^4$$.
   - The coefficient is **$$-4$$**.

**Answer:** $$-4$$
The leading coefficient is $$-4$$.

Determine the leading coefficient in the polynomial .

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