Question

question 1 of 10
which polynomial lists the powers in descending order?

a. $4x^3 - 4x^5 + 2x^4 + x^7 - 10$

b. $-10 + 4x^3 - 4x^5 + 2x^4 + x^7$

c. $x^7 + 4x^3 + 2x^4 - 4x^5 - 10$

d. $x^7 - 4x^5 + 2x^4 + 4x^3 - 10$

Explanation:

Step1: Identify term exponents

List exponents for each option:

• A: 3, 5, 4, 7, 0
• B: 0, 3, 5, 4, 7
• C: 7, 3, 4, 5, 0
• D: 7, 5, 4, 3, 0

Step2: Check descending order

Descending order requires exponents from highest to lowest: $7 > 5 > 4 > 3 > 0$. Only option D matches this sequence.

Answer:

D. $x^7 - 4x^5 + 2x^4 + 4x^3 - 10$