 Hello and welcome to the session. In this session we discuss the following question that says for what value of k minus 4 is a 0 of the polynomial x square minus x minus 2k plus 2 the whole. Let's proceed with the solution now. Consider the given polynomial to be px equal to x square minus x minus of 2k plus 2 the whole. We are given that minus 4 is the 0 of the polynomial px therefore we have p of minus 4 would be equal to 0. Now let's find out what is p of minus 4. This is obtained by substituting x as minus 4 in the given polynomial px. So p of minus 4 is equal to minus 4 the whole square minus of minus 4 minus of 2k plus 2. That is we have p of minus 4 is equal to 16 plus 4 minus 2k minus 2. Further p of minus 4 is equal to 18 minus 2k. Now condition for minus 4 to be 0 of px is p of minus 4 is equal to 0 thus p of minus 4 equal to 0 means 18 minus 2k is equal to 0. That is we get 2k is equal to 18. Now to get the value for k we divide both sides by 2. So we have this 2 cancels with this 2 and 2 9 times is 18 therefore we get k is equal to 9. So k equal to 9 is required value of k which is the final answer. So this completes the session hope you have understood the solution of this question.