Question

Form a quadratic equation whose sum and product of roots are $\frac{1}{4}$ and $-1$ respectively

Answer 1

Let the zeros of polynomial be a and b.

$a+b=\frac{1}{4}$

$ab=-1$

Therefore, quadratic equation is

$x^2-\frac{1}{4}x-1=0$

$4x^2-x-4=0$