# If α and β are the zeros of the quadratic polynomial , find a polynomial whose roots are (i) (ii) .

(i) A quadratic equation when sum and product of its zeros is given by: , where k is a constant

Sum of the roots = = = = Product of the roots = = = Sum of the zeros of new eqn = = Product of the zeros of new eqn = =  (ii) A quadratic equation when sum and product of its zeros is given by: , where k is a constant

Sum of the roots = = = = Product of the roots = = = Sum of the zeros of new eqn = = = = = Product of the zeros of new eqn = = = = = Therefore eqn is:  = = = = 0

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Champ Quiz |Revealing the relation Between Zero and Coefficients38 mins  Relation Between zeroes and Coefficients46 mins  Interactive Quiz - Geometrical Meaning of the Zeroes32 mins  Relationship between Zeroes and Coefficients-238 mins  Relationship between Zeroes and Coefficients-152 mins  Quiz - Division Algorithm38 mins  Interactive Quiz:Polynomials43 mins  Division Algorithm-130 mins  Relation b/w The Zeroes and Coefficients of Cubic Polynomials54 mins  Revision of Relation Between the Zeroes and Coefficients of Quadratic Polynomial46 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 