Question

Find a quadratic polynomial with the sum and product of zeroes are 1/4 and - 1/4 respectively.​

Answer 1

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