Q. 163.6( 13 Votes )

If the polynomial

Answer :

The division is as follows:


There is an important relation between dividend, divisor, quotient and remainder which is as follows:


Dividend = Divisor × Quotient + Remainder


Dividend – Remainder = Divisor as the when remainder is subtracted from dividend, the result obtained is completely divisible by divisor.


(-9 + 2k) x + (10 – 8k + k2) = (x + a)


On comparing both sides of coefficients of x:


2k – 9 = 1


2k = 10


k = 5


On comparing both sides:


10 – 8k + k2 = a


10 - (8 × 5) + 52 = a


10 – 40 + 25 = a


35 – 40 = a


-5 = a


Hence a = -5 and k = 5.


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 :

If u(x) = (x – 1)Rajasthan Board Mathematics

Find the lowest cRajasthan Board Mathematics

Solve the followiRajasthan Board Mathematics

Solve the followiRajasthan Board Mathematics

The area of a recRajasthan Board Mathematics

The LCM and HCF oRajasthan Board Mathematics

If α and β are thRajasthan Board Mathematics

Find the zeroes oRajasthan Board Mathematics

Write ShridharachRajasthan Board Mathematics

Solve the followiRajasthan Board Mathematics