Question

If(x-1) is a factor of kx²-√2x +1,find k​

Answer 1

x - 1 is a factor so

x - 1 = 0

x = 1

so now,

$k {x}^{2} - \sqrt{2} x + 1 = 0\\ \\ k( {1)}^{2} - \sqrt{2} (1) + 1 = 0 \\ \\ k - \sqrt{2} + 1 = 0 \\ \\ k = \sqrt{2} - 1$