Question

If x^3 + 6x^2 + 4x + k is exactly divisible by x+ 2 , then k =

a. -6
b. -7
c. -8
d. -10
pls give proper answer ​

Answer 1

Answer:

c. -8

Step-by-step explanation:

x³+6x²+4x+k ➗ x+2

x+2)x³+6x²+4x+k(x²+4x-4

x³+2x²

(-) (-)

_____

4x²+4x+k

4x²+8x

(-) (-)

______

-4x+k

-4x-8

(+) (+)

______

8+k

______

Since x+2 is exactly divide the p(x)

Therefore, 8+k= 0

k= -8

(ʘᴗʘ✿)