Question

Find the value of k if (x+2) is a factor of x^2-kx^2+6x-k.

Answer 1

Hey there!

Let's take x + 2 = 0

Then, x = -2

Let us substitute the value in the equation :

As, x + 2 is a factor, the remainder will be zero, there fore, the equation is 0.

4 - 4k - 12 - k = 0

4 - 5k - 12 = 0

- 8 - 5k = 0

-5k = 8

k = -8/5

Hope my answer helps!

Answer 2

HLO MATE ✋✋
Simran Here !!!!

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Given That : (x+2) is a factor of given polynomial...

So, x+2 = 0
x = - 2

Now , Putting the value of x in (x^2 - kx^2 + 6x - k )

⏩ x^2 - kx^2 + 6x - k
=> (-2)^2 - k(-2)^2 + 6(-2) - k
=> 4 - 4k - 12 - k
=> -8 - 5k =0
=> - 8 = 5k
=> k = -8/ 5...

So, The value of k is -8/5 ✔✔
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HOPE IT HELPS UH ✌✌
^_^