Question
Find the value of k, if x - 1 is a factor of p(x) in each of the following cases:
p(x) = x2 + x + k
Solution
p(x) = x2 + x + k
If x - 1 is a factor of p(x), then p(1) = 0
| By Factor Theorem
(1)2 + (1) + k = 0
1 + 1 + k = 0
2 + k = 0
k = - 2.
