Rewriting Rational Expressions
Algebra · Flashcards · Recall
ALGEBRA · FLASHCARDS
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QUESTION
What is the name of the process used to rewrite
a
(
x
)
b
(
x
)
\frac{a(x)}{b(x)}
b
(
x
)
a
(
x
)
as
q
(
x
)
+
r
(
x
)
b
(
x
)
q(x)+\frac{r(x)}{b(x)}
q
(
x
)
+
b
(
x
)
r
(
x
)
?
QUESTION
What is the remainder degree condition when dividing by a quadratic
b
(
x
)
b(x)
b
(
x
)
with
deg
(
b
(
x
)
)
=
2
\deg(b(x))=2
de
g
(
b
(
x
))
=
2
?
QUESTION
What is the remainder degree condition when dividing by a linear
b
(
x
)
b(x)
b
(
x
)
with
deg
(
b
(
x
)
)
=
1
\deg(b(x))=1
de
g
(
b
(
x
))
=
1
?
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ANSWER
r
(
x
)
r(x)
r
(
x
)
is a constant (degree
0
0
0
). Linear divisor means remainder has degree less than 1.
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