Question

If α, β are the zeros of a polynomial such that α + β = −6 and αβ = −4, then write the polynomial.

Answer 1

For a quadratic polynomial with roots α and β, the general form is:

x² − (α + β)x + (αβ) = 0

x² − (−6)x + (−4) = 0

x² + 6x − 4 = 0

Hence, the polynomial is  x² + 6x − 4.