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Step-by-step explanation:

Given polynomial is,

x - 1 + 2x³ - 3x⁴ + 5x⁵

2.1)  Number of terms in the given polynomial = 5

2.2) Degree of polynomial = Highest exponent of polynomial = 5

2.3) Constant term of the given polynomial = 1

2.4) Polynomial in descending order,

      5x⁵ - 3x⁴ + 2x³ + x - 1

2.5) Value of polynomial at x = -1

      5(-1)⁵ - 3(-1)⁴ + 2(-1)³ + (-1) - 1 = -5 - 3 - 2 - 1 - 1

                                                   = -12

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