Operating with Rational Expressions
Algebra 2 · Flashcards
ALGEBRA 2 · FLASHCARDS
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QUESTION
What is
x
x
−
1
÷
x
+
2
x
−
1
\frac{x}{x-1}\div\frac{x+2}{x-1}
x
−
1
x
÷
x
−
1
x
+
2
simplified?
QUESTION
What value must be excluded when simplifying
(
x
−
3
)
(
x
+
1
)
x
−
3
\frac{(x-3)(x+1)}{x-3}
x
−
3
(
x
−
3
)
(
x
+
1
)
?
QUESTION
What restriction must be stated for the 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)\neq 0
Q
(
x
)
=
0
(exclude values making
Q
(
x
)
=
0
Q(x)=0
Q
(
x
)
=
0
). The denominator cannot equal zero to avoid division by zero.
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