Question

find the quadratic polynomial,the sum of whose zeros is 5/2 and their product is 1. hence find the zeros of the polynomial

Answer 1

given sum  of  the  zeroes= -b/a =>5/2 
product of  the  zeroes =c/a => -1/1  
but as the polynomial is  x^2-(sum of zeroes)x +product of zeroes 
the  required  polynomial will be   2x2 -5x - 2

Answer 2

the standard form of an equation is $a x^{2} -sx+p$
where s is sum of zeroes and p is the product
equatis is $x^{2} -5/2x +1$
if we take the LCM then equation will be
$2 x^{2} -5x+2$