Find the value of k if x – 3 is the factor of P(x) = x2–2x−k.
Find the value of k, if x−1 is a factor of p(x) in each of the following cases: (i) p(x)=x2+x+k (ii) p(x)=2x2+kx+ √2 (iii) p(x)=kx2−√2x+1