Question

The sum and product of the zeroes of a quadratic polynomial are

and –3 respectively. What is

the quadratic polynomial?​

Answer 1

Answer:

If α, β be the zeros of the quadratic polynomial ,then

(x−α)(x−β) is the quadratic polynomial.

Thus, (x−α)(x−β) is the polynomial

=x(square)- ax-βx+αβ

=x(square)- x(α_β) +αβ (I)

(α+β) = -5

αβ = 3

now using the value of (α+β), αβ in equation (I) we get

x(square) - x(-5)+3

=x(square) + 5x+3

hopes it helps you...