 Hello and welcome to the session. Let's discuss the following problem today. Find a quadratic polynomial each with a given number, the sum and product of its zeros respectively, that is root 2, 1 by 3. Let us understand the key idea first. We know that a quadratic polynomial when the sum and product of its zeros are given is given by f of x is equal to k into x square minus sum of zeros into x plus product of zeros. Now, let us write the solution for our problem. It is given to us that sum of zeros is equal to root 2 and product of zeros is equal to 1 by 3. Now, by key idea, let us frame our polynomial. That is f of x is equal to k into x square minus sum of zeros is equal to root 2 root 2 x plus product of zeros is equal to 1 by 3. So, plus 1 by 3. Now, solving this polynomial, we get k into 3 x square minus 3 root 2 x plus 1 whole divided by 3. Now, this 3 gets cancelled with k if we assume k to be 3 to satisfy our sum of zeros and product of zeros. Therefore, required polynomial is f of x is equal to 3 x square minus 3 root 2 x plus 1. I hope you enjoyed this session. Bye and have a nice day.