Q. 10 F

# Find quadratic polynomial whose zeroes are :

Let the zeroes of the quadratic polynomial be

α = √2, β = 2√2

Then, α + β = √2 + 2√2 = √2 (1 + 2) = 3√2

αβ = √2× 2√2 = 4

Sum of zeroes = α + β = 3√2

Product of zeroes = αβ = 4

= x2 – (sum of zeroes)x + product of zeroes

= x2 – (3√2)x + 4

= x2 – 3√2 x + 4

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
Quiz - Division Algorithm38 mins
Relationship between Zeroes and Coefficients-152 mins
Interactive Quiz - Geometrical Meaning of the Zeroes32 mins
Relationship between Zeroes and Coefficients-238 mins
Relation b/w The Zeroes and Coefficients of Cubic Polynomials54 mins
Revision of Relation Between the Zeroes and Coefficients of Quadratic Polynomial46 mins
Interactive Quiz:Polynomials43 mins
Division Algorithm-130 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