Question

A quadratic polynomial whose sum and product of zeroes are 1/4 and -1 respectively is
2 points
x2 + 1/4 x + 1
x2 - 1/4 x - 1
x2 + 1/4 x - 1
x2 - x + 1/4

Answer 1

Answer:

Let a and b its roots

a+b=−4 and ab=−1

∴ The equation is x

2

−(a+b)x+ab=0

⇒x

2

+4x−1=0