 Hello and welcome to this session. Today I will help you with polynomials. Let us discuss the following question. Find the quadratic polynomial each with a given number, the sum and the product of the zeroes respectively that is 1 by 4 comma minus 1. Let us understand the key idea first. A quadratic polynomial when the sum and product of the zeroes are given is given by fx is equal to x square minus sum of zeroes into x plus product of zeroes. Now let us write the solution. Given to us is that sum of zeroes is equal to 1 by 4 and product of zeroes is equal to minus 1. Therefore by key idea now let us find the quadratic polynomial. We get f of x is equal to k into x square as it is minus sum of the zeroes which is 1 by 4. Therefore 1 by 4 into x plus product of the zero which is minus 1. Now solving the equation we get k into 4x square minus x minus 4 whole divided by 4. Now this 4 gets cancelled by this constant. If we take this k as 4 to satisfy our given condition the sum of zeroes and the product of zeroes. Therefore we get our required polynomial as x is equal to 4x square minus x minus 4. Hope you understood the problem. Bye and have a nice day.