# What must be subtracted from the polynomial so that the resulting polynomial is exactly divisible by ?

Given : the polynomial
To find : What must be subtracted from the polynomial so that the resulting polynomial is exactly divisible by
Solution :
Let g(x) be
By applying division algorithm:

Dividend = Quotient× Divisor + Remainder

Dividend - Remainder = Quotient× Divisor

Now find the remainder when is divisible by .

Therefore has to be subtracted so that resulting polynomial is divisible by

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz |Revealing the relation Between Zero and Coefficients38 mins
Relation Between zeroes and Coefficients46 mins
Interactive Quiz - Geometrical Meaning of the Zeroes32 mins
Relationship between Zeroes and Coefficients-238 mins
Relationship between Zeroes and Coefficients-152 mins
Quiz - Division Algorithm38 mins
Interactive Quiz:Polynomials43 mins
Division Algorithm-130 mins
Relation b/w The Zeroes and Coefficients of Cubic Polynomials54 mins
Solving Imp. Qs. of Olympiad on Polynomials47 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