Let ( x - 1 ) = 0

Then

=> x = 1

Put x = 1 in the given polynomial

P ( x ) = k^2x^2 - 2kx - 3

P ( 1 ) = k^2 ( 1 )^2 - 2k ( 1 ) - 3

=> k^2 - 2k - 3 = 0

=> k^2 - 3k + k + 3 = 0

=> k ( k - 3 ) + 1 ( k + 3 ) = 0

=> ( k + 1 ) ( k - 3 ) = 0

=> ( k + 1 ) = 0 OR ( k - 3 ) = 0

=> k = - 1 OR k = 3

Therefore the value of k is - 1 , 3

Answer:

Which graph would correctly represent the result of