Question

find the quadratic polynomial whose sum and product of zero are 1/4 and -1​

Answer 1

Answer:

I have solve the problem. Hope it helps.

Answer 2

sum of zeroes=1/4 and product of zeroes=-1

quadratic polynomial= x^2+(alpha+beta)x+(alphaxbeta)

=>x^2+1\4x-1=0

=>4x^2+4x-4=0 (by taking LCM and cross multiply the denominator 4 by 0)

=> 4x^2+4x-4=4(x^2+x-1)=0. (by taking 4 as a common)

so you're answer is x^2+x-1