Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Consider the polynomial .
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
Consider the polynomial
p
(
x
)
=
2
x
3
−
5
x
2
+
4
x
−
7
p(x)=2x^{3}-5x^{2}+4x-7
p
(
x
)
=
2
x
3
−
5
x
2
+
4
x
−
7
. (i) Divide
p
(
x
)
p(x)
p
(
x
)
by
x
−
3
x-3
x
−
3
and write the quotient and the remainder. (ii) Calculate the value of
p
(
3
)
p(3)
p
(
3
)
. (iii) Explain why the remainders obtained in parts (i) and (ii) are equal.
Related theory
Polynomials
Division Algorithm for Polynomials
Polynomial Functions
Binomial theorem
Algebra
Browse the problem library