Question

If x ^3 + 6 x ^2 + 4 x + k is divisible by ( x + 2 ) , then the value of k is:​

Answer 1

Answer:

Divide x

3

+6x

2

+4x+k by x+2

x+2

)x

3

+6x

2

+4x+k(

x

2

+4x−6

−(x

3

+2x

2

)

4x

2

+4x+k

−(4x

2

+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

Answer 2

Step-by-step explanation:

See this attachment

Hope its help...