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

and –3 respectively. What is

the quadratic

1 thought on “The sum and product of the zeroes of a quadratic polynomial are<br /><br />and –3 respectively. What is <br /><br />the quadratic”

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...

   Reply