Question

A quadratic polynomial with 3 and 2 as the sum and product of its zeros respectively​

Answer 1

Let the zeroes of quadratic are 'a' & 'b'

Sum of zeroes = a + b = 3

Product of zeroes = ab = 2

So, the equation of quadratic equation is

→ x² + x(sum of zeroes) + (product of zeroes) = 0

→ x² + x(a + b) + ab = 0

→ x² + 3x + 2 = 0