Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.

Which polynomial lists the powers in descending order?

A. [tex][tex]$10 x^2+8 x^3+x^8-2+3 x^6$[/tex][/tex]

B. [tex][tex]$3 x^6+10 x^2+x^8+8 x^3-2$[/tex][/tex]

C. [tex][tex]$x^8+3 x^6+8 x^3+10 x^2-2$[/tex][/tex]

D. [tex][tex]$x^8+10 x^2+8 x^3+3 x^6-2$[/tex][/tex]

Sagot :

GinnyAnswer
Sure, let's determine which polynomial lists the powers in descending order step-by-step:

Given options:
1. [tex]\( A. 10x^2 + 8x^3 + x^8 - 2 + 3x^6 \)[/tex]
2. [tex]\( B. 3x^6 + 10x^2 + x^8 + 8x^3 - 2 \)[/tex]
3. [tex]\( C. x^8 + 3x^6 + 8x^3 + 10x^2 - 2 \)[/tex]
4. [tex]\( D. x^8 + 10x^2 + 8x^3 + 3x^6 - 2 \)[/tex]

We'll check each option to see if it lists the powers of [tex]\( x \)[/tex] in descending order:

### Option A: [tex]\( 10x^2 + 8x^3 + x^8 - 2 + 3x^6 \)[/tex]
- Powers: 2, 3, 8, 0 (constant term), 6.
- Order: 2, 3, 8, 0, 6 (not in descending order).

### Option B: [tex]\( 3x^6 + 10x^2 + x^8 + 8x^3 - 2 \)[/tex]
- Powers: 6, 2, 8, 3, 0 (constant term).
- Order: 6, 2, 8, 3, 0 (not in descending order).

### Option C: [tex]\( x^8 + 3x^6 + 8x^3 + 10x^2 - 2 \)[/tex]
- Powers: 8, 6, 3, 2, 0 (constant term).
- Order: 8, 6, 3, 2, 0 (in descending order).

### Option D: [tex]\( x^8 + 10x^2 + 8x^3 + 3x^6 - 2 \)[/tex]
- Powers: 8, 2, 3, 6, 0 (constant term).
- Order: 8, 2, 3, 6, 0 (not in descending order).

From these observations:

- Option A does not list the powers in descending order.
- Option B does not list the powers in descending order.
- Option C lists the powers in descending order.
- Option D does not list the powers in descending order.

Therefore, the polynomial that lists the powers in descending order is:
[tex]\[ \boxed{\text{C}} \][/tex]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.