Question

Find a quadratic polynomial, the sum and product of zeroes are 1 and -1 respectively

Answer 1

Answer:

Quadratic polynomial is x² - x -1 = 0

Step-by-step explanation:

Let zeros of quadratic polynomial be α and β

Given,  sum of zeroes (α+β) is 1

            product of zeroes (αβ) is -1

Quadratic polynomial is

       x² - (α+β) x + αβ = 0

       x² - x -1 = 0