Question

For what value of $k-4$ is a zero of the polynomial $x^2-x(2k+2)$

Answer 1

Given polynomial is $x^2-x(2k+2)$

$x^2-2x(k+1)=0⟹x(x-2k+2)=0⟹x=0,2k+2$

So the zeroes of polynomial are $0,2k+2$

$⟹k-2=0$ or $k-2=2k+2$

$⟹k=2$ or $k=-4$