SOLUTION: Use the factor theorem to find the value of k if x+1 is a factor of x^13-2x^7+3x+k

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Question 1009346: Use the factor theorem to find the value of k if x+1 is a factor of x^13-2x^7+3x+k
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
If x+1 is a factor we plug -1 in for x and set the polynomial equal to zero to find k...
x^13 - 2x^7 + 3x + k = 0
(-1)^13 - 2(-1)^7 + 3(-1) + k = 0
-1 + 2 - 3 + k = 0
k = 2