Question

If `(x+2)` is a factor of `x^3-6x^2+kx+10`, what is k?

Answer 1

The answer is `k=-11`

Explanation:

Let `f(x)=x^3-6x^2+kx+10`

If `(x+2)` is a factor

Then,

`f(-2)=0`

`f(-2)=-8-24-2k+10=0`

`2k=-22`

`k=-11`