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Answer :
Final answer:
The polynomial 3x^3 + 9x^7 - x + 4x^12 written in descending order is 4x^12 + 9x^7 + 3x^3 - x. Option D is the correct choice.
Explanation:
The polynomial in question is 3x^3 + 9x^7 - x + 4x^12. The correct form of this polynomial written in descending order is the one which lists the terms starting with the highest exponent first. The exponents should decrease as you move from left to right in the expression.
Looking at the given options, we can eliminate options A and B because they do not start with the term that has the highest exponent. Between options C and D, option D correctly lists the terms with exponents in descending order:
4x^12 + 9x^7 + 3x^3 - x
This order reflects the degree of the terms which go from highest to lowest: 12, 7, 3, and then the constant term.
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