If $\alpha$ and $\beta$ are the zeroes of a polynomial such that $\alpha +\beta =6$ and $\alpha \beta =4$ then write the quadratic polynomial.

Given that,

$\alpha +\beta =6$ And $\alpha \beta =4$

The quadratic polynomial whose zeroes are $\alpha ,\beta$ is,

$f\left(x\right)=k[x^2-(\alpha +\beta )x+\alpha \beta ]$

$=k[x^2-6x+4]$

Where ${}^{\prime }{k}^{\prime }$ is any non zero real number