Question

Find the quadratic polynomial whose roots are$-9$ and $-\frac{1}{9}$.

Answer 1

The roots of the Quadratic polynomial are $a=-9$ and $b=-\frac{1}{9}$

So the polynomial is,

$k(x-a)(x-b)$

$=k(x+9)(x+\frac{1}{9})$

$=k(x^2+\frac{82}{9}x+1)$