SOLUTION: Find the values of k if 3(x+3)^4

SOLUTION: Find the values of k if 3(x+3)^4 - (k+x)^2 has a factor x+1

Question 1183612: Find the values of k if 3(x+3)^4 - (k+x)^2 has a factor x+1
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If a polynomial in has as a factor, it can be written as where is another polynomial,
and the value of the original polynomial is
for
Then, for we have

You can also solve the problem the long, cumbersome, treacherous way, but that increases the risk of errors.
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