Question

A quadratic polynomial with 3and 2 as the sum and the product of its zeroes respectively is​

Answer 1

The quadratic polynomial is

$\sf \: f(x) = k({x}^{2} - sx + p)$

where k is non zero real number.

According to question,

Sum of zeroes, s = 3

Product of zeroes, p = 2

Therefore,

$\sf \: f(x) = k ({x}^{2} - 3x + 2) \: and \: k\: is \: non \: zero$