Question

find k, if x2 - 2x +k has x-1 is a factor

Answer 1

x-1=0
x=1

putting x=1 in x²-2x+k
x²-2x+k=0
(1)²-2(1)+k=0
1-2+k=0
-1+k=0
k=1

Answer 2

put the value of x in this equation
x-1=0
x = 1
$x {}^{ 2} - 2x + k = 0 \\ 1 {}^{2} - 2 \times 1 + k = 0 \\ 1 - 2 + k = 0 \\ k = 1$
value of k is 1