Question

if x-1 is a factor of x^2-2kx +1 then the value of k is
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Answer 1

Pls mark as brainliest answer

Answer 2

Given,

• (x-1) is a factor of $x^2-2kx+1$

To find,

• Value of k

Solution,

If x-1 is a factor of x²-2kx +1 then the value of k is 1.

If (x-1) is a factor of $x^2-2kx+1$ then x= 1 must satisfy the given equation.

      p(x) = $x^2-2kx+1$

      p(1) = (1)² - 2k(1) +1

            = 1 -2k +1

            = 2-2k

It is given that x-1 is a factor of $x^2-2kx+1$, then

          2-2k = 0

            -2k = -2

               k = 1

Hence, the value of k if x-1 is a factor of $x^2-2kx+1$ is  1.