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Answer :
Final answer:
The polynomial representation of the difference is 5x^7 - x^2 + 12x + 3.
Explanation:
To find the difference between the two polynomials, you need to subtract the second polynomial from the first. So, we have (5x^7 + 9x + 3) - (x^2 - 3x). When subtracting, you distribute the negative sign to all terms in the second polynomial. This gives us 5x^7 + 9x + 3 - x^2 + 3x. Combining like terms, the final polynomial representation of the difference is 5x^7 - x^2 + 12x + 3.
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