Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Write the simplest form in which a proper rational function
P
(
x
)
(
x
−
a
)
(
x
−
b
)
(
x
−
c
)
\dfrac{P(x)}{(x-a)(x-b)(x-c)}
(
x
−
a
)
(
x
−
b
)
(
x
−
c
)
P
(
x
)
, where
a
a
a
,
b
b
b
and
c
c
c
are distinct real numbers, can be expressed as a sum of simpler rational terms.
Browse the problem library