Question: Divide. $$\frac{6c^{10} - 18c^8 + 14c^4}{2c^4}$$ The quotient is □. (Simplify your answer.)
1. **State the problem:** We need to divide the polynomial $$6c^{10} - 18c^8 + 14c^4$$ by $$2c^4$$ and simplify the result.
2. **Write the division as separate terms:**
$$\frac{6c^{10}}{2c^4} - \frac{18c^8}{2c^4} + \frac{14c^4}{2c^4}$$
3. **Simplify each term:**
- For $$\frac{6c^{10}}{2c^4}$$, divide coefficients and subtract exponents:
$$\frac{6}{2} \times c^{10-4} = 3c^6$$
- For $$\frac{18c^8}{2c^4}$$:
$$\frac{18}{2} \times c^{8-4} = 9c^4$$
- For $$\frac{14c^4}{2c^4}$$:
$$\frac{14}{2} \times c^{4-4} = 7c^0 = 7$$
4. **Combine the simplified terms:**
$$3c^6 - 9c^4 + 7$$
5. **Final answer:**
The quotient is $$3c^6 - 9c^4 + 7$$.