Question

find the value of k if x-2 is a factor of p(x)=xsquare2 +kx+2k

Answer 1

since x-2 is a factor => x=2
p(2) => 2 square +2k+2k =0
=> 4+4k = 0
=> 4k = -4. => k= -4/4 => -1

Answer 2

given ( x - 2) is the factor of the given polynomial

x - 2 = 0

x = 2

according to the question

on putting f (2)....

=> x^2 + kx + 2k = 0

=>(2)^2 + k* 2 + 2k=0

=> 4+4k = 0

=> 4 ( 1+ k) = 0

=> 1+ k = 0

=> k = -1

the answer will be -1

hope this helps u