write a quadratic polynomial whose zeros are root3 and-root3 - Maths - Polynomials

Question

write a quadratic polynomial whose zeros are root3 and-root3

Varun.Rawat · Accepted Answer

Let α = 3 and β = -3Now, α + β = 3 + -3 = 0Now, αβ = 3 × -3 = -3Now, required polynomial is px = kx2 - α+βx+αβ, where k is a non zero real number=kx2-0x-3=x2-3  On taking k = 1