Answer :

Let p (x) = ax3+3x2-13 and q (x) = 2x3-5x+a be the given polynomials.

The remainders when p (x) and q (x) are divided by (x – 2) and p (2) and q (2) respectively.


By the given condition, we have:


p (2) = q (2)


a (2)3 + 3 (2)2 – 13 = 2 (2)3 – 5 (2) + a


8a + 12 – 13 = 16 – 10 + a


7a – 7 = 0


7a = 7


a =


= 1


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Division of PolynomialsDivision of PolynomialsDivision of Polynomials46 mins
Quiz- Test what you Know Part 2Quiz- Test what you Know Part 2Quiz- Test what you Know Part 246 mins
Polynomials- IntroductionPolynomials- IntroductionPolynomials- Introduction45 mins
Identities Ke Master BaneIdentities Ke Master BaneIdentities Ke Master Bane47 mins
Quiz- Test what you KnowQuiz- Test what you KnowQuiz- Test what you Know64 mins
Conservation of EnergyConservation of EnergyConservation of Energy41 mins
Pair of AnglesPair of AnglesPair of Angles29 mins
Complete Basics of Class 9 Chemistry - IComplete Basics of Class 9 Chemistry - IComplete Basics of Class 9 Chemistry - I35 mins
Equations of MotionEquations of MotionEquations of Motion41 mins
Graphical Representation of Motion - IIGraphical Representation of Motion - IIGraphical Representation of Motion - II39 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
caricature
view all courses
RELATED QUESTIONS :

In each of the foRD Sharma - Mathematics

In each of the foRD Sharma - Mathematics

When (x31</sRS Aggarwal & V Aggarwal - Mathematics

Find the remaindeRS Aggarwal & V Aggarwal - Mathematics

When p (x) = (x<sRS Aggarwal & V Aggarwal - Mathematics

If p (x) = 2x<supRS Aggarwal & V Aggarwal - Mathematics

If (x3RS Aggarwal & V Aggarwal - Mathematics

When p (x) = x<suRS Aggarwal & V Aggarwal - Mathematics

When p (x) = x<suRS Aggarwal & V Aggarwal - Mathematics

(x +1) is a factoRS Aggarwal & V Aggarwal - Mathematics