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I'm going to assume the polynomial in question is 2x7+(3-2x3)+(5x8-4x)

Expanding out the polynomial:

2x7+3-2x3+5x8-4x

Order the terms by powers of x:

5x8+2x7-2x3-4x+3

Since 8 is the highest power of x, the degree of the polynomial is 8.

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