Question

gen eqn of quad poly

Answer 1

heya........

A Normal quad. Eqn.

a(x2 + bx + c)
b= sum of zeroes
c= product of zeroes
Let the two zeroes be α and β


Then  we can write
a ( x2 - ( α+β)x + βα)        =0   

  ;because to get zeroes we equate eqn to 0
opening the brackets  a (x2 - αx -βx +αβ) =0

By middle term factorization  we get

a(x-β)(x-α)=0



tysm.....@kundan

Answer 2

General equation of quadritic polynomial is 

$ax^{2}+bx+c =0$
But there is a condition and it is that
$a \neq 0$

In factorised form it can be written as
$(x- \alpha )(x- \beta )=0$
where α and β are the zeros of the polynomial.