Question

If (x+2) is a factor of

`3x ^(2) - 4kx - 4k ^(2)`
then find the value(s) of k.

Answer 1

`(x + 2)(x + 2) \\ ( {x}^(2) + 4x + 4) * 3 \\ 3 {x}^(2) - 4kx - 4 {k}^(2) \\ 3 {x}^(2) + 12x + 12 \\ - 4kx = 12x \\ \: \: \: \: k( - 4x) = 12x \\ k = - 3`
i hope the answer was right, :)