Question

Find the value of k, if x – 1 is a factor of p(x)
i) (i) p(x) = x^2+x+k

Answer 1

k = -2.

Explanation:

By the Factor Theorem, if x - 1 is a factor then p(1) = 0.

So, p(1) = (1)^2 + 1 + k = 0

k = -1 - 1

k = -2.