Order Polynomial 881Ef2

1. **State the problem:** We need to order the terms of the polynomial $$2y^5 + y + 3y^7 - 4y^3 + 12$$ correctly. 2. **Recall the rule:** Polynomial terms are ordered by descending powers of the variable. That means terms with the highest exponent come first, then the next highest, and so on. 3. **Identify the powers:** The terms and their powers are: - $$3y^7$$ (power 7) - $$2y^5$$ (power 5) - $$-4y^3$$ (power 3) - $$y$$ (power 1) - $$12$$ (constant, power 0) 4. **Order the terms:** From highest to lowest power, the polynomial is: $$3y^7 + 2y^5 - 4y^3 + y + 12$$ 5. **Compare with options:** This matches option c.) **Final answer:** c.) $$3y^7 + 2y^5 - 4y^3 + y + 12$$