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------------------------------------------------ Which of the following shows the polynomial below written in descending order?

\[5x^3 - x + 9x^7 + 4 + 3x^{11}\]

A. $9x^2 + 5x^3 + 4 + 3x^{11} - x$
B. $3x^{11} + 9x^7 + 5x^3 - x + 4$
C. $3x^{11} + 9x^7 - x + 4 + 5x^3$
D. $4 + 3x^{11} + 9x^7 + 5x^3 - x$

Question

College

Answer :

sqdancefan sqdancefan · Answer 1 · 2024-03-14T08:20:58-04:00

Answer:

B. 3x¹¹ +9x⁷ +5x³ −x +4

Step-by-step explanation:

You want to identify the polynomial that has terms written in descending order of their degree.

The degree of a term is the exponent of x in that term. In the given polynomial, the term degrees are 3, 1, 7, 0, 11.

When these are put into descending order, that order is ...

11, 7, 3, 1, 0

The answer to this question will be the polynomial with terms written in the order of their degree as shown above:

3x¹¹ +9x⁷ +5x³ −x +4

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Additional comment

When the exponent of x is 0, the value of the term x^0 is 1. That is why we can say the constant term is a term that has the variable to degree 0.

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