Question

a quadratic polynomial with sum and product of its zeroes as8 and -9 respectively is

Answer 1

sum of a quadratic polynomial = α+β = 8

product of quadratic equation = αβ = -9

formula for quadratic equation = x²-(α+β)x+αβ

                                                   =x²-(8)x+(-9)

                                                   = x²-8x-9

∴a quadratic polynomial with sum and product of its zeroes as8 and -9 respectively is x²- 8x - 9