Answered

Explore IDNLearn.com to discover insightful answers from experts and enthusiasts alike. Find reliable solutions to your questions quickly and accurately with help from our dedicated community of experts.

Which polynomial lists the powers in descending order?

A. [tex]\( x^8 + 3x^6 + 8x^3 + 10x^2 - 2 \)[/tex]
B. [tex]\( 3x^6 + 10x^2 + x^8 + 8x^3 - 2 \)[/tex]
C. [tex]\( 10x^2 + 8x^3 + x^8 - 2 + 3x^6 \)[/tex]
D. [tex]\( x^8 + 10x^2 + 8x^3 + 3x^5 - 2 \)[/tex]

Sagot :

GinnyAnsweridn
To determine which polynomial lists the powers of [tex]\( x \)[/tex] in descending order, we need to examine each polynomial and check the sequence of the exponents.

Choice A: [tex]\( x^8+3x^6+8x^3+10x^2-2 \)[/tex]
- Powers: [tex]\( 8, 6, 3, 2, 0 \)[/tex]
- The exponents are listed in descending order.

Choice B: [tex]\( 3x^6+10x^2+x^8+8x^3-2 \)[/tex]
- Powers: [tex]\( 6, 2, 8, 3, 0 \)[/tex]
- The exponents are not in descending order.

Choice C: [tex]\( 10x^2+8x^3+x^8-2+3x^6 \)[/tex]
- Powers: [tex]\( 2, 3, 8, 0, 6 \)[/tex]
- The exponents are not in descending order.

Choice D: [tex]\( x^8+10x^2+8x^3+3x^5-2 \)[/tex]
- Powers: [tex]\( 8, 2, 3, 5, 0 \)[/tex]
- The exponents are not in descending order.

Among these choices, only Choice A lists the exponents in descending order. Therefore, the correct answer is:

Choice A: [tex]\( x^8+3x^6+8x^3+10x^2-2 \)[/tex]
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find clear answers at IDNLearn.com. Thanks for stopping by, and come back for more reliable solutions.