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23-03-2018
Mathematics

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if (x+2) is a factor of
[tex]3x ^{2} - 4kx - 4k ^{2} [/tex]
then find the value(s) of k.

Respuesta :

23-03-2018

[tex](x + 2)(x + 2) \\ ( {x}^{2} + 4x + 4) \times 3 \\ 3 {x}^{2} - 4kx - 4 {k}^{2} \\ 3 {x}^{2} + 12x + 12 \\ - 4kx = 12x \\ \: \: \: \: k( - 4x) = 12x \\ k = - 3[/tex]
i hope the answer was right, :)

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