Question

8. Find a quadratie polynomial whose sum and product of its zeroes are
1/4 and -1 respectively​

Answer 1

Answer:

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

Step-by-step explanation:

Let us consider the roots as a and $x^{2} -(a+b)x+ab=0$

=> a+b = 1/4  & ab = (-1)

Equation will be;

=>  $x^{2} -(a+b)x+ab=0$

=> $x^{2} -(\frac{1}{4})x+(-1)=0$

=>$4x^{2} -x-1=0$