Question

x-2 is a factor of p (x) = x^2+Kx+k​

Answer 1

As x -2 is the factor of the equation so it should satisfy equation so

x-2=0

x = 2

So , putting x=2 in equation we get

4+ 2k + 2k =0

4k =-4

K = -1

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Answer 2

Answer:

$x - 2$

is a factor then

p(2)= 0

the given polynomial is x²+ Kx+k

${2}^{2} + 2k + k = 0 \\ 4 + 3k = 0 \\ 3k = - 4 \\ k = \frac{ - 4}{3}$