find quadratic polynomial whose zeroes are root 3 , minus root 3​

1 thought on “find quadratic polynomial whose zeroes are root 3 , minus root 3​”

1. Solution

   Given:–

   • Roots of quadratic equations = √3 , -√3

   Find :–

   • quadratic Equation

   Explanation

   Let,

   • Roots are p & q

   First Calculate sum of roots

   ==> Sum of roots = p + q

   ==> p + q = √3 + (-√3)

   ==> p + q = 0

   Now, calculate product of roots

   ==> product of roots= p.q

   ==> p.q = √3 × (-√3)

   ==> p.q = -3

   Formula of Equation

   [tex]\boxed{\underline{\tt{\red{\:(x^2-(p+q)x+(p.q)\:=\:0}}}}[/tex]

   Keep all above Values,

   ==> x² – (0)x + (-3) = 0

   ==> x² – 3 = 0

   Hence

   • Quadratic Equation will be = x² – 3 = 0

   __________________

   Reply