Question

find a quadratic polynomial in which sum of roots is 1/4 & product of roots is - 1/4.

Answer 1

Answer:

x^2 - (sum of roots)x + product of roots = 0

Step-by-step explanation:

x^2 -1/4x -1/4 = 0

4x^2 - x- 1 = 0

Answer 2

Solution=>
sum of roots=1/4
product of roots=-1/4

Therefore, required polynomial is
x²-sum of roots(x)+product of roots=0
x²-(1/4x)+(-1/4)=0
x²-1/4x-1/4=0
4x²-x-1=0
Answer....