Answer :
Final answer:
The polynomial (1.5x^3 + 2x + 7x^5) is correctly written in descending order as (7x^5 + 1.5x^3 + 2x), which corresponds to option (a).
Explanation:
The student has been asked to write the polynomial (1.5x^3 + 2x + 7x^5) in descending order based on the exponents of the terms. The polynomial in descending order starts with the term that has the highest exponent and ends with the term that has the lowest exponent.
Here, the term 7x^5 has the highest exponent, followed by 1.5x^3, and then the 2x term which has the lowest exponent. Therefore, the correct way to rearrange the polynomial in descending order is:
7x^5 + 1.5x^3 + 2x
This corresponds to option (a).
