Question

Find a quadratic polynomial, the sum and product of whose zeroes are 3 and 2, respectively.?​

Answer 1

Solution:-

Sum of the zeroes = α+β = 3

Product of zeroes = αβ = 2

Quadratic Polynomial =

`{x}^(2) - (α + β)x + αβ`

`{x}^(2) - (3)x + 2`

`{x}^(2) - 3x + 2`

Therefore, The Quadratic Polynomial needed is
`{x}^(2) - 3x + 2`

( α = Alpha,

β = Beta )