Factor Polynomial 2C6515

1. **State the problem:** Simplify or factor the expression $$35x^8 + 7x^2 - 14x$$. 2. **Identify the greatest common factor (GCF):** The coefficients are 35, 7, and -14. The GCF of these numbers is 7. Each term contains at least one factor of $$x$$. 3. **Factor out the GCF:** $$35x^8 + 7x^2 - 14x = 7x(5x^7 + x - 2)$$ 4. **Check if the remaining polynomial can be factored further:** The polynomial inside the parentheses is $$5x^7 + x - 2$$, which does not factor easily with simple methods. 5. **Final answer:** $$7x(5x^7 + x - 2)$$ This is the fully factored form using the greatest common factor.