Question

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

Answer 1

Hey!!!...here is ur answer

if x-1 is a factor of x^2-2x+k....then

put x=1 in given eq

(1)^2-2×1+k=0

1-2+k=0

k=1

Hope it will help you ☺

Answer 2

If x- 1 is a factor of
${x}^{2} + 2 - 2x + k \: then \: x - 1 = 0 \: hence \: x = 1$
If we input the value x=1 where p(1) = 0 as x-1 leaves no remainder on division ( by remainder/ factor theorem ) if we input the value of x in the equation then
${1}^{2} + 2 - 2 \times x \: + k \: = 0$
$1 + 2 - 2 + k = 0$
$1 + k = 0$
k = -1
If the answer helps then please mark it as the brainliest answer