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Question 3 of 10

Which of the following shows the polynomial below written in descending
order?
5x3x+9x7+4+3x11
OA. 9x² + 5x³+4+3x¹¹ - x
OB. 3x¹¹ +9x7 + 5x³ − x + 4
OC. 3x¹1 +9x7-x+4+5x³
D. 4+ 3x¹¹+
D. 4+ 3x¹1 +9x7 + 5x³ - x

User Bandreid
by
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1 Answer

1 vote

Answer:

B. 3x¹¹ +9x⁷ +5x³ −x +4

Explanation:

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

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

Standard form

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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User Wilkas
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