Find a quadratic polynomial with the sum and product of zeroes are 1/4 and - 1/4 respectively.
Answers
Answered by
2
Answer:
From the formulas of sum and product of zeroes, we know,
Sum of zeroes = α+β
Product of zeroes = α β
(i)1/4, -1
We know that from the formula of quadratic equation
x²-(Sum of root)x + (Product of root) = 0
On substituting the value of formula we get
x² –(1/4)x -1 = 0
Multiply by 4 to remove denominator we get
4x² – x -4 = 0
Similar questions