Question

Find the quadratic polynomial, sum of whose zeroes is √2 and their product is (1/ 3).

Answer 1

We can find the quadratic equation if we know the sum of the roots and product of the roots by using the formula 

x² – (Sum of the roots)x + Product of roots = 0 

⇒ x² – √2x + 1/3 = 0 

⇒ 3x² –3√2x + 1 = 0