SOLUTION: Given that x � p is a factor of the expression x^2-(p+2)x-p^2+4p+8 , calculate the possible values of p.

Question 695485: Given that x � p is a factor of the expression x^2-(p+2)x-p^2+4p+8 , calculate the possible values of p.
Answer by mouk(232) (Show Source): You can put this solution on YOUR website!
Let
By the remainder theorem is a factor of if and only if
So implies:

Giving or
Check:
======
When p=4 we expect to be a factor:

so is a factor
When p=-2 we expect to be a factor:

so is a factor
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