Question

find the value of k if (x-2) is a factor of x square - kx - 2​

Answer 1

Step-by-step explanation:

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