Question

find the value of k if x-3 is a factor of p(x) p(x)=k square-2x+k​

Answer 1

${k}^{2} - 2x + k = 0 \\ (x - 3) \: is \: a \: factor \: of \: p(x) \\ x = 3 \: is \: a \: zero \\ \\ {k}^{2} - 2(3) + k = 0 \\ {k}^{2} + k - 6 = 0 \\ {k}^{2} + 3k - 2k - 6 = 0 \\ k(k + 3) - 2(k + 3) = 0 \\ (k + 3)(k - 2) = 0 \\ k = - 3 \: or \: 2$

there you go :)