College

Which polynomial represents the difference below?

\[10x^8 + 11x^6 - 2x + 5 - (8x^8 + 6x^7 - 5)\]

A. \(2x^8 - 6x^7 + 11x^6 - 2x + 10\)
B. \(2x^3 - 6x^7 + 9x^6 - x + 10\)
C. \(18x^8 - 17x^7 + x^6 - 2x + 10\)
D. \(2x + 5x^1 - 2x\)

Answer :

Final answer:

The polynomial that represents the difference is 2x8 - 6x7 + 11x6 - 2x + 10.


Explanation:

To find the difference of two polynomials, we subtract each term of the second polynomial from the corresponding term of the first polynomial. In this case, the polynomial that represents the given difference is 2x8 - 6x7 + 11x6 - 2x + 10.


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