Question

If x – 1 is a factor of p(x) = x2 + x + k, then the value of k is:
(i) 3 (ii) 2 (iii) – 2 (iv) 3

Answer 1

✌️ Hey mate ✌️

Here's the answer.

$\red{k = - 2}$

Now,

$x - 1 = 0 \\ x = 1 \\ \\ \\ p(1) = {1}^{2} + 1 + k \\ p(1) = 1 + 1 + k \\ 0 = 2 + k \\ k = - 2$

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