Question

Write a quadratic polynomial, sum and product of whose zeroes are -3 and 4
Respectively.​

Answer 1

The sum of zeroes are = (α +β) = -3

The product of zeroes are (αβ) = 4

So , The required polynomial is ,

                     = k [ x² - (α+β) x + αβ ]

                     = k [ x² + 3x + 4 ]

Polnomial = x² + 3x + 4