Question

Find the value of K if x-2 is a factor of x^2+kx-12​

Answer 1

Step-by-step explanation:

Given expression is x

3

+kx

2

+12x−8=0

x−2 is a factor of the given expression.

So, x=2

Substitute in the equation, we get

2

3

+k(2)

2

+12(2)−8=0

⇒8+4k+24−8=0

⇒4k=−24

⇒k=−6