Question

# If $α$ and $β$ are the zeroes of a polynomial such that $α+β=6$ and $αβ=4$ then write the quadratic polynomial.

Easy

Solution

Verified by GMS

## Given that,$α+β=6$ And $αβ=4$

The quadratic polynomial whose zeroes are $α,β$ is,

$f(x)=k[x_{2}−(α+β)x+αβ]$

$=k[x_{2}−6x+4]$

Where $_{′}k_{′}$ is any non zero real number

The quadratic polynomial whose zeroes are $α,β$ is,

$f(x)=k[x_{2}−(α+β)x+αβ]$