Question

Find a quadratic polynomial whose sum of zeros is -1/4 and product of zeros is 1/4
(a<0)

Answer 1

Step-by-step explanation:

let

a,b are the roots

given,

a+b=-1/4

ab=1/4

quadratic polynomial is x²-(a+b)x+ab=0

x²-(-1/4)x+1/4=0

x²+(1/4)x+1/4=0

4x²+x+1=0