Mathematics, 01.09.2019 13:10 AdiGirlBrainly

Which polynomial contains the powers in descending order?
a. 3x6 + 10x2 + x8 + 8x3 - 2
b. 10x2 + 8x3 + x8 - 2 + 3x6
c. x8 + 10x2 + 8x3 + 3x6 - 2
d. x8 + 3x6 + 8x3 + 10x2 - 2

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Answer from: bryant0103

The option D contains the powers in descending order.

Step-by-step explanation:

Descending order means that any term of the expression must have a lower order than the previous term. Keep in mind that if there is a constant (number without the ) is because the number has implicitly the factor x^0 . However, this factor equals 1. For a better understanding, let's put the factor x^0 with the constant numbers. Now, let's analyse each option:

A. 3x^6+10x^2+x^8+8x^3-2x^0

As the first term has a power of 6, the second term must have a lower power than 6. As it is 2, the second term is correct.As the second term has a power of 2, the third term must have a lower power than 2. As it is 8 (it is higher), the third term is incorrect. So, the option A is INCORRECT.

B. 10x^2+8x^3+x^8-2x^0+3x^6

As the first term has a power of 2, the second term must have a lower power than 2. As it is 3 (it is higher), the second term is incorrect. So, the option B is INCORRECT.

C. x^8+10x^2+8x^3+3x^6-2x^0

As the first term has a power of 8, the second term must have a lower power than 8. As it is 2, the second term is correct.As the second term has a power of 2, the third term must have a lower power than 2. As it is 3 (it is higher), the third term is incorrect. So, the option C is INCORRECT.

D. x^8+3x^6+8x^3+10x^2-2x^0

As the first term has a power of 8, the second term must have a lower power than 8. As it is 6, the second term is correct.As the second term has a power of 6, the third term must have a lower power than 6. As it is 3, the third term is correct.As the third term has a power of 3, the fourth term must have a lower power than 3. As it is 2, the fourth term is correct.Finally, as the fourth term has a power of 2, the last term must have a lower power than 2. As it is 0, the last term is correct.As all terms are correct, the option D is the CORRECT one.

Thus, the option D contains the powers in descending order.

Answer from: Quest

so what is the question

step-by-step explanation:

Answer from: Quest

investment b is an ordinary annuity with $3,909.64 in the account after one year.

step-by-step explanation:

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Which polynomial contains the powers in descending order?
a. 3x6 + 10x2 + x8 + 8x3 - 2
...