Q. 155.0( 2 Votes )

<span lang="EN-US

Answer :

Let p(x) = ax2 + 5x + b


As (x – 3) and are factors of p(x) hence each will divide p(x) leaving remainder as 0


Let us use the remainder theorem which states that if (x – a) divides a quadratic polynomial p(x) then p(a) = 0


p(3) = 0


Substituting x = 3


a(3)2 + 5(3) + b = 0


9a + 15 + b = 0


b = – 9a – 15 …(ii)


And also


Substituting




Multiplying throughout by 9


a + 15 + 9b = 0


–9b = a + 15 …(i)


Add (i) and (ii)


b – 9b = – 9a – 15 + a + 15


–8b = –8a


a = b


Hence proved


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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 the given figuRS Aggarwal - Mathematics

Find all the zeroMathematics - Board Papers