Answer :
The polynomial 3x^3 + 9x^7 - x + 4x^12 written in descending order is 4x^12 + 9x^7 + 3x^3 - x. Hence, option D is the correct answer.
In order to write the polynomial in descending order, we arrange the terms in decreasing powers of x.
Given polynomial: 3x^3 + 9x^7 - x + 4x^12
Let's rearrange the terms:
4x^12 + 9x^7 + 3x^3 - x
In this form, the terms are written from highest power to lowest power, which is the descending order.
Hence, the polynomial written in descending order is 4x^12 + 9x^7 + 3x^3 - x.
Therefore, option D is the correct answer as it shows the polynomial written in descending order.
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