Answer :
Given: The zeroes are 3 + √3 and 3 – √3.
∴ Sum of the zeroes = (3 + √3) + (3 - √3) = 6
Product of the zeroes = (3 + √3) (3 - √3) = (3) 2 - (√3) 2
= 9 – 3 = 6
The required polynomial is:
x 2 - (sum of the zeroes) x + Product of the zeroes ⇒ x 2 - (6) x + (6)
∴ x 2 - 6x + 6 is the required polynomial.
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
Relation b/w The Zeroes and Coefficients of Cubic Polynomials54 mins
Revision of Relation Between the Zeroes and Coefficients of Quadratic Polynomial46 mins
Solving Imp. Qs. of Olympiad on Polynomials47 mins
Cubic Polynomial36 mins
Know the Relation Between Zero and Coefficients51 mins
Champ Quiz | Zero of a Polynomial30 mins
Extras on Relation Between Zeroes and Coefficient of Cubic Polynomial50 mins
Interactive Quiz - Geometrical Meaning of the Zeroes32 mins
Champ Quiz |Revealing the relation Between Zero and Coefficients38 minsRelation Between zeroes and Coefficients46 minsRelation b/w The Zeroes and Coefficients of Cubic Polynomials54 minsRevision of Relation Between the Zeroes and Coefficients of Quadratic Polynomial46 minsSolving Imp. Qs. of Olympiad on Polynomials47 minsCubic Polynomial36 minsKnow the Relation Between Zero and Coefficients51 minsChamp Quiz | Zero of a Polynomial30 minsExtras on Relation Between Zeroes and Coefficient of Cubic Polynomial50 minsInteractive Quiz - Geometrical Meaning of the Zeroes32 minsTry our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
view all courses
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
RELATED QUESTIONS :
Draw the graph of 2x – 3y = 4. From the graph, find whether x = -1, y = -2 is a solution or not. (Final)
NCERT - MathematicsProve the following identities :
tan4θ + tan2θ = sec4θ – sec2θ
KC Sinha - MathematicsIf
, then find the values of sin θ and cos θ.
Write the first three terms of the following sequences defined by:
