Q. 1 B3.7( 3 Votes )

Which of the following is a quadratic polynomial?

(i) 2 x2+1 (ii) x2 + (iii) (iv)

Answer :

(i) On solving the equations,


2x2 + 1 = 0


Re-writing in the format of ax2 + bx + c = 0


(2)x2 + (0)x + 1 = 0


a = 2 b = 0 & c = 1.


So, following the ideal pattern of a quadratic polynomial 2x2 + 1 is a quadratic polynomial.


(ii) On solving the equations,



it can’t be re-written in the format of ax2 + bx + c = 0


So, following the ideal pattern of a quadratic polynomial, x2+ is not a quadratic polynomial.


(iii) On solving the equations,



it can’t be re-written in the format of ax2 + bx + c = 0


So, following the ideal pattern of a quadratic polynomial, is not a quadratic polynomial.


(iv) On solving the equations,


3√(x2+ 1) + x = 0


it can’t be re-written in the format of ax2 + bx + c = 0


So, following the ideal pattern of a quadratic polynomial, 3√(x2+ 1) + x = 0 is not a quadratic polynomial.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Get To Know About Quadratic Formula42 mins
Quiz | Knowing the Nature of Roots44 mins
Take a Dip Into Quadratic graphs32 mins
Foundation | Practice Important Questions for Foundation54 mins
Nature of Roots of Quadratic Equations51 mins
Getting Familiar with Nature of Roots of Quadratic Equations51 mins
Quadratic Equation: Previous Year NTSE Questions32 mins
Understand The Concept of Quadratic Equation45 mins
Champ Quiz | Quadratic Equation33 mins
Quiz | Lets Solve Imp. Qs of Quadratic Equation43 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