Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
CBSE
MATHEMATICS · Multi-part · CBSE · Mathematics · Polynomials · Polynomials
Problem
Let
r
(
x
)
=
2
x
3
−
3
x
2
−
11
x
+
6
r(x)=2x^{3}-3x^{2}-11x+6
r
(
x
)
=
2
x
3
−
3
x
2
−
11
x
+
6
. (i) Show that
x
=
3
x=3
x
=
3
is a zero of
r
(
x
)
r(x)
r
(
x
)
. (ii) Divide
r
(
x
)
r(x)
r
(
x
)
by
(
x
−
3
)
(x-3)
(
x
−
3
)
and write the quotient. (iii) Factorise
r
(
x
)
r(x)
r
(
x
)
completely into linear factors. (iv) Hence, write all the zeros of
r
(
x
)
r(x)
r
(
x
)
.
Related theory
Division Algorithm for Polynomials
Polynomials
Functions
Polynomial Functions
Solving quadratic equations
Algebra
Browse the problem library