Final answer:
Upon substituting -2 into the polynomial p(x) = 2x^3 - 3x - 5, the result is -20, which is not listed in the provided options. This indicates a possible error in the options given.
Step-by-step explanation:
To find the value of p(-2) for the polynomial p(x) = 2x^3 - 3x - 5, we simply substitute x with -2 in the equation.
p(-2) = 2(-2)^3 - 3(-2) - 5
Calculating each part of the equation step-by-step:
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- (-2)^3 = -8
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- 2(-8) = -16
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- -3(-2) = 6
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- So we have, -16 + 6 - 5 = -15 - 5
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- Which equals -20
Therefore, p(-2) = -20.
None of the provided options A, B, C, or D match the calculated answer. Hence, there seems to be a mistake either in the calculation of the options or in the transcription of the question.