Question

if (x+2) is a factor of x^3+6x^2+4x+k then find k​

Answer 1

Answer:

k = -8

Explanation:

f(x) = 0

x + 2 = 0

x = -2

x^3 + 6x^2 + 4x + k = 0

(-2)^3 + 6(-2)^2 + 4(-2) + k = 0

-8 + 24 - 8 + k = 0

-16 + 24 + k = 0

24 + k = 16

k = 16 - 24

k = -8

Answer 2

g(x) = x+2

As, g(x) = 0

So, x+2 = 0

x = -2

Now f(-2) = (-2)³ + 6(-2)² + 4(-2) + k = 0

= -8 + 6(4) - 8 + k = 0

= -16 + 24 + k = 0

= 8 + k = 0

Therefore, k = -8

Hope it helps you.

Pls mark me as Brainliest.