Question

Write a quadratic polynomial whose sum of zeroes and product of zeroes is 1/4 and -1 respectively.

Answer 1

Answer:

ATQ,

alpha+beta=1/4

alpha×beta=-1

x2-(alpha+beta)x+(alpha×beta)

x2-(1/4)x+(-1)

x2-1/4x-1 is the required polynomial

Answer 2

Answer:

alpha+beta=1/4

alpha*beta=-1

therefore the quadratic polynomial of the form

p(x)= x^2-(alpha+beta)x+(alpha*beta)

p(x)=4x^2-x-4