The general form of a quadratic with zeroes `alpha` and `beta` is `y=a(x-alpha)(x-beta)` . Find 'a' in terms of alpha and beta if the coefficient of x is a.
Also what does it mean by constant and coefficient?
The zeros of polynomial
`y=a(x-alpha)(x-beta)` ,is same as roots of equation
The rlation between roots and coefficients are
`alpha+beta=(-coefficient of x)/(coefficient of x^2)`
`alpha beta= ( constant term)/( coefficient of x^2)`
In question what is a ,
so answer `a!=0`
constant term = product of roots/ coefficient of x^2
in question it is `alpha beta` .