Question

Find a quadratic polynomial , the sum and product of whose zeroes are $5$ and $-2$ respectively.

Answer 1

If $\alpha$ and $\beta$ are the roots of the quadratic polynomial

then $e{q}^n$ becomes

$x^2-(\alpha +\beta )x+\alpha \beta$

Here sum $=5$ and product $=-2$

$\therefore$ quadratic polynomial = $x^2-5x-2$