Let P(x) be a polynomial in x, let k be a positive integer, and let be a number such that is a factor of (x) but is not a factor of (x). For what values of k is it possible that P(x) has a local maximum or minimum value at x = ?
A) even values of k
B) k = 1 only
C) k = 2 only
D) odd values of k
E) k = 0 only

Question

Let P(x) be a polynomial in x, let k be a positive integer, and let  be a number such that  is a factor of  (x) but  is not a factor of  (x). For what values of k is it possible that P(x) has a local maximum or minimum value at x = ?
A) even values of k 
B) k = 1 only 
C) k = 2 only 
D) odd values of k 
E) k = 0 only

Quizplus · Accepted Answer

The Answer of Let P(x) be a polynomial in x, let k be a positive integer, and let  be a number such that  is a factor of  (x) but  is not a factor of  (x). For what values of k is it possible that P(x) has a local maximum or minimum value at x = ?
A) even values of k 
B) k = 1 only 
C) k = 2 only 
D) odd values of k 
E) k = 0 only

Let P(x) Be a Polynomial in X, Let K Be