Question

find a quadratic polynomial each with the given numbers as the
sum and product of its zeroes respectively
(Sum of zeroes )x+ product of zeroes
1/4,-1
​

Answer 1

$\huge\bigstar\sf\red{Answer:}$

$\sf{Sum \ of \ zeroes=\dfrac{1}{4}}$

$\sf{Product \ of \ zeroes=-1}$

$\sf{Required \ equation \ is}$

$\sf{x^{2}-\dfrac{x}{4}-1}$

$\sf{I.e. \ 4x^{2}-x-4}$

Answer 2

Answer:

$sum \: of \: zerose \: are \: \frac{1}{4} \\ product \: of \: zerose \: = - 1$

x^2 +1/4-1

4x2-x-4