Answer :

(i) Let, f (x) = x3-2ax2+ax-1 be the given polynomial

From factor theorem,


If (x – 2) is a factor of f (x) then f (2) = 0 [Therefore, x – 2 = 0, x = 2]


f (2) = 0


(2)3 – 2 a (2)2 + a (2) – 1 = 0


8 – 8a + 2a – 1 = 0


7 – 6a = 0


6a = 7


a =


Hence, (x – 2) is a factor of f (x) when a = .


(ii) Let f (x) = x5-3x4-ax3+3ax2+2ax+4 be the given polynomial


From factor theorem,


If (x – 2) is a factor of f (x) then f (2) = 0 [Therefore, x – 2= 0, x = 2]


f (2) = 0


(2)5 – 3 (2)4 – a (2)3 + 3 a (2)2 + 2 a (2) + 4 = 0


32 – 48 – 8a + 12a + 4a + 4 = 0


-12 + 8a = 0


8a = 12


a =


Hence, (x – 2) is a factor of f (x) when a = .


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 - IGraphical Representation of Motion - IGraphical Representation of Motion - I44 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 :

Factorize:
</p
RS Aggarwal & V Aggarwal - Mathematics

Find the vaRS Aggarwal & V Aggarwal - Mathematics

Factorize:
</p
RS Aggarwal & V Aggarwal - Mathematics

Factorize:
</p
RS Aggarwal & V Aggarwal - Mathematics

Factorize:
</p
RS Aggarwal & V Aggarwal - Mathematics

If <span lang="ENNCERT Mathematics Exemplar

Show that p – 1 iNCERT Mathematics Exemplar

Factorize:
</p
RS Aggarwal & V Aggarwal - Mathematics

Find the value ofNCERT Mathematics Exemplar