Question

find a quadratic polynomial whose sum and product of it's zeroes are -1/4,1/4 respectively.
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Answer 1

Answer:

The quadratic equation is in the form

$a {x}^{2} + bx + c$

So sum of roots =

-b/a = 0

Product of roots is =

C/a = - 1/16

${x}^{2} + ( - sum \: of \: roots) + product \: of \: roots \:$

X^2+0-1/16

$16 {x}^{2} + 0 - 1 = 0$

Is the quadratic equation

Hope it helps ✌️