Question

Find a quadratic polynomial, the sum and product of whose zeroes are 0 and 3 respectively.

Answer 1

Given: Sum of zeroes = α + β = 0

Product of zeroes = αβ = 3

Then, the quadratic polynomial

= x² – (sum of zeroes)x + product of zeroes

= x² – (0)x + 3

= x² + 3