Rewriting Rational Expressions
Algebra 1 · Flashcards
ALGEBRA 1 · FLASHCARDS
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QUESTION
What is
x
3
−
1
x
2
+
x
+
1
\frac{x^3-1}{x^2+x+1}
x
2
+
x
+
1
x
3
−
1
written as
q
(
x
)
+
r
(
x
)
b
(
x
)
q(x)+\frac{r(x)}{b(x)}
q
(
x
)
+
b
(
x
)
r
(
x
)
?
QUESTION
What is
x
2
−
1
x
+
1
\frac{x^2-1}{x+1}
x
+
1
x
2
−
1
written as
q
(
x
)
+
r
(
x
)
b
(
x
)
q(x)+\frac{r(x)}{b(x)}
q
(
x
)
+
b
(
x
)
r
(
x
)
?
QUESTION
What is
x
2
+
1
x
\frac{x^2+1}{x}
x
x
2
+
1
written as
q
(
x
)
+
r
(
x
)
b
(
x
)
q(x)+\frac{r(x)}{b(x)}
q
(
x
)
+
b
(
x
)
r
(
x
)
?
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ANSWER
x
+
1
x
x+\frac{1}{x}
x
+
x
1
. Split each term:
x
2
x
+
1
x
=
x
+
1
x
\frac{x^2}{x}+\frac{1}{x}=x+\frac{1}{x}
x
x
2
+
x
1
=
x
+
x
1
.
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