Answer:
The answer is 4x² – x – 4 = 0
Step-by-step explanation:
1st Method
Given;
- Sum of zeroes = α + β = (-b)/a = 1/4
- Product of zeros = αβ = c/a = 1
Where,
So, one quadratic polynomial satisfying is given condition is 4x² – x – 4 = 0
2nd Method
Sum of zeroes = 1/4
Product of zeros = 1
Remember this formula
x² – (α + β)x + αβ
x² – 1/4x + 1
4x² – x – 4 = 0
Thus, The quadratic polynomial is
4x² – x – 4 = 0.
