Question

16. IfX+ 6x² + 4x + k is exactly divisible by x + 2, then k is equal to
(a) - 6
(b)-7
(o) - 8
(d) - 10​

Answer 1

Answer:

i hope it will help you to solve your question

Answer 2

Answer:

c=-8

Step-by-step explanation:

Divide x³ + 6x² + 4x + k by x + 2

x + 2)x³ + 6x² + 4x + k( x² + 4x − 6

-(x³ + 2x²)

4x² + 4x +k -(4x² + 8x)

- 4x + k

-(-4x - 8)

k+8

As, x + 2 is a factor of the given polynomial, so

remainder must be 0.

So, k+8 = 0 or k = −8

Hence, C is correct.