Question

find the value of k,if x-2 is a factor of p (x)=x2+kx+2k.

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:

value of k is -1

Step-by-step explanation:

If x-a is the factor of a polynomial f(x) then

$\text{f(a)} = 0$

We have to find the value of k:

if x-2 is a factor of $p(x)=x^2+kx+2k$.

then;

by definition we have;

$p(2) = 2^2+2k+2k$

$4+4k = 0$

Subtract 4 from both sides we have;

4k = -4

Divide both sides by 4 we get;

k = -1

Therefore, the value of k is -1