Form a quadratic polynomial whose zeroes are and ?

Let and be roots of the quadratic polynomial

The quadratic polynomial is given by x2 – (α + β)x + αβ = 0…(1)

Let us Find α + β

α + β = 6 …(i)

Now lets Find αβ

Using identity (a + b)(a – b) = a2 – b2

…(ii)

Putting values of (α + β) and αβ from (i) and (ii) in (1)

Multiplying throughout by 25

25x2 – 150x + 222 = 0

Hence the quadratic is 25x2 – 150x + 222 = 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: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
Revision of Relation Between the Zeroes and Coefficients of Quadratic Polynomial46 mins
Interactive Quiz - Geometrical Meaning of the Zeroes32 mins
Relationship between Zeroes and Coefficients-238 mins
Cubic Polynomial36 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