# Find a quadratic polynomial each with the given numbers as the sum and product of its zeroes respectively. Given: Sum of the zeroes of the polynomial = –2

The product of the zeroes of the polynomial = √2

Concept Used:

The quadratic polynomial is given by:

P(x) = x2 – (Sum of the zeroes)x + (Product of the zeroes)

Explanation:

Putting the values in p(x) we get,

P(x) = x2 – (–2)x + √2

P(x) = x2 + 2x + √2

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  Solving Imp. Qs. of Olympiad on Polynomials47 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 