 Hello and welcome to the session. Let us discuss the following problem today. Find the zeros of the following quadratic polynomial and verify the relationship between the zeros and the coefficients. We have f of t is equal to t square minus 15. Here we have f of t is equal to t square minus 15 which can be written as t square minus under root 15 in the whole square. Here if we apply the formula of a square minus b square we get t minus root 15 into t plus root 15. We know that zeros of f of t are given by f of t is equal to 0 which implies t minus root 15 into t plus root 15 is equal to 0 which implies t minus root 15 is equal to 0 or t plus root 15 is equal to 0 which implies t is equal to root 15 or t is equal to minus root 15. Hence zeros of f of t are alpha is equal to root 15, beta is equal to minus root 15. Now the verification part, the sum of zeros that is alpha plus beta is equal to root 15 plus minus root 15 which is equal to 0 that is minus coefficient of x by coefficient of x square which is equal to minus 0 by 1 which is equal to 0. Similarly product of zeros that is alpha beta is equal to root 15 into minus root 15 which is equal to minus 15 that is constant term divided by coefficient of x square which is equal to minus 15 by 1 which is equal to minus 15 hence verified.