Write a quadratic polynomial, sum of whose zeros is 2√3 and their product is 2.

Question

Philoid · Accepted Answer

The sum of the two zeros of the quadratic equation is given by –

Here it’s given = 2

The product of the quadratic equation is

Here = 2

the quadratic equation is of the form ax² + b x + c = 0

or x² + (sum of the roots) x + product of the roots = 0

= x² – 2 x + 2

f(x) = k(x² – 2 x + 2), where k is any real number