Question

find a quadratic polynomial,the sum and the product of whoes zeroes are -1/4 and1/4 respectively​

Answer 1

Answer:

alfa+beta= -1/4

and

alfa×beta=1/4

therefore by using formula

that is

k{ x²-(alfa+beta)x + (alfa×beta)=0

now simply put the value and get the ans

k(x²- (-1/4)x + (1/4)=0

k(x²+1/4x + 1/4) =0

k(4x²+ x + 1) =0. (:- by taking 4 as LCM)

SO EQAUTION IS:-

4x²+x+1