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Let P(x) be a polynomial in x, let k be a positive integer, and let a be a number such that (x − a) is a factor of P"(x) a)*+1 is not a factor of P" (x). For what values of k is it possible that P(x) has a local maximum or minimum value but (-a) at x = a? Select one: a.k = 2 only b.k = 0 only c.k = 1 only d.even values of k e.odd values of k

Let P(x) be a polynomial in x, let k be a positive integer, and let a be a number such that (x − a) is a factor of P"(x) a)*+1 is not a factor of P" (x). For what values of k is it possible that P(x) has a local maximum or minimum value but (-a) at x = a? Select one: a.k = 2 only b.k = 0 only c.k = 1 only d.even values of k e.odd values of k

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let P(x) be a polynomial in x, let k be a positive integer, and let a be a number such that (x − a) is a factor of P"(x) a)*+1 is not a factor of P" (x). For what values of k is it possible that P(x) has a local maximum or minimum value but (-a) at x = a? Select one: a.k = 2 only b.k = 0 only c.k = 1 only d.even values of k e.odd values of k
Transcribed Image Text:Let P(x) be a polynomial in x, let k be a positive integer, and let a be a number such that (x − a) is a factor of P"(x) a)*+1 is not a factor of P" (x). For what values of k is it possible that P(x) has a local maximum or minimum value but (-a) at x = a? Select one: a.k = 2 only b.k = 0 only c.k = 1 only d.even values of k e.odd values of k
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