Find the value of

**k**if**y – 1**is a factor of y^{3}+ 4y^{2}+ ky – 6-
**A.**

-6 -
**B.**

-4 -
**C.**

O -
**D.**

1

##### Correct Answer: Option D

##### Explanation

if y – 1 is a factor of y^{3} + 4y^{2} + ky – 6, then

f(1) = (1)^{3} + 4(1)2 + k(1) – 6 = 0 (factor theorem)

1 + 4 + k – 6 = 0

5 – 6 + k = 0

-1 + k = 0

k = 1

There is an explanation video available below.