the quadratic polynomial is x²-2x+3

Answer:

One of the solution is (x² - 2x + 3)

Step-by-step explanation:

sum of the zeros = 2 = α+β

product of the zeros = 3 = αβ

quadratic polynomial p(x)=k[ x² - (sum of the zeros) x + (product of the zeros)]

where k is any rational number

Let us take k=1

∴ p(x) = x² - (sum of the zeros) x + (product of the zeros)

= x² - 2x + 3