A quadratic polynomial whose zeros are 5 and ‒3, is
We have, α = 5, β = -3
Thus, sum of zeros(α + β) = 5 – 3 = 2
Product of zeros(αβ) = 5(-3) = -15
We know that,
Required polynomial = x2 – (α + β) + αβ
= x2 – 2x – 15
Hence, option C is correct.