Operating with Rational Expressions
Algebra 1 · Flashcards
ALGEBRA 1 · FLASHCARDS
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QUESTION
What is the quotient
2
x
÷
3
x
+
1
\frac{2}{x}\div\frac{3}{x+1}
x
2
÷
x
+
1
3
simplified?
QUESTION
What is
1
x
+
1
−
1
x
−
1
\frac{1}{x+1}-\frac{1}{x-1}
x
+
1
1
−
x
−
1
1
written as a single fraction?
QUESTION
What restriction must be stated for a rational expression
p
(
x
)
q
(
x
)
\frac{p(x)}{q(x)}
q
(
x
)
p
(
x
)
?
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ANSWER
q
(
x
)
≠
0
q(x)\ne 0
q
(
x
)
=
0
(exclude values that make the denominator
0
0
0
). The denominator cannot equal zero to avoid undefined expressions.
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