Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Consider the polynomial
p
(
x
)
=
2
x
3
−
5
x
2
−
4
x
+
3
p(x)=2x^{3}-5x^{2}-4x+3
p
(
x
)
=
2
x
3
−
5
x
2
−
4
x
+
3
. a. (i) Verify that
x
=
3
x=3
x
=
3
is a zero of
p
(
x
)
p(x)
p
(
x
)
. b. (ii) Obtain the other quadratic factor of
p
(
x
)
p(x)
p
(
x
)
. c. (iii) Hence, factorise
p
(
x
)
p(x)
p
(
x
)
completely and state all its zeros.
Browse the problem library