Question

Find a quadratic polynomial, the sum and product of whose zeroes are 0 and $-\frac{3}{5}$ respectively.

Answer 1

Quadratic polynomial
$=x^2$ - (Sum of zeroes) x + Product of zeroes)

Substituting sum of the roots as 0 and the product of the roots as $-\frac{3}{5}$, we get

$x^2-\left(0\right)x+\left(\frac{-3}{5}\right)=x^2-\frac{3}{5}$