The sum and product of the zeros of a quadratic polynomial are and — 3 respectively. What is the quadratic polynomial?

Question

Philoid · Accepted Answer

Given,

Sum of zeroes (α + β) = −(1/2)

Product of zeroes (αβ) = −3
As we know that the quadratic polynomial with zeroes α, β is given by;

x² − (α + β)x + (αβ)
= x² − [−(1/2)]x + (−3)
= x² + (1/2)x – 3