Question

Find the quadratic polynomial in 'x' . If the sum and product of zeroes are ⅓ and ⅙​

Answer 1

Answer:

let ,

sum of the zeros be ($\alpha + \beta$)

product of the zeroes be(αβ)

given, ( α+β)=1/3

          αβ=1/6

now, quadratic polynomial in 'x'= x²-(α+β)x + αβ

                                                     =x²-x/3+ 1/6

                                                      =(6x²-2x+1)/6

Step-by-step explanation: