Question

find a quadratic polynomial the sum and product of those zeros are 4 and I respectivele
​

Answer 1

Answer:

Step-by-step explanation:

α+β=4

αβ=1

required polynomial=k(x²-(α+β)x+αβ)

                              =k(x²-4x+1)

required polynomial is x²-4x+1 where k=1

Answer 2

Answer:

Given: Sum of zeroes = α + β = 4 Product of zeroes = αβ = 1 Then, the quadratic polynomial = x2 – (sum of zeroes)x + product of zeroes = x2 – (4)x + 1 = x2 – 4x + 1