# For what value of k is (x + 1) a factor of x³ + kx² – x + 2?

(a) 4

(b) 3

(c) 1

(d) -2

**Answer: (d) – 2**

**Solution:-**

If (x + 1) a factor of x^3 + kx^2 – x + 2.

So, x + 1 = 0

x = – 1

Put the value of x = -1,

Then, (-1)^3 + k (-1)^2 – (-1) + 2 = 0

= – 1 + k + 1 + 2 = 0

k + 2 = 0

k = -2

Then, the value of ‘k’ is -2.

Hence, the correct answer is option (d) -2.