Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
CBSE
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
Let
q
(
x
)
=
3
x
4
−
5
x
3
+
7
x
−
11
q(x)=3x^4-5x^3+7x-11
q
(
x
)
=
3
x
4
−
5
x
3
+
7
x
−
11
. (i) Find the remainder when
q
(
x
)
q(x)
q
(
x
)
is divided by
(
x
−
1
)
(x-1)
(
x
−
1
)
. (ii) Find the remainder when
q
(
x
)
q(x)
q
(
x
)
is divided by
(
x
+
3
)
(x+3)
(
x
+
3
)
. (iii) Hence determine the sum of the two remainders obtained in parts (i) and (ii).
Related theory
Polynomials
Division Algorithm for Polynomials
Polynomial Functions
Functions
Browse the problem library