Rewriting Rational Expressions
Algebra · Flashcards · Application
ALGEBRA · FLASHCARDS
Card 1
of 39
0 got it
0 to review
Current
Got it
Still learning
Not seen
QUESTION
What is
x
3
−
3
x
2
+
3
x
−
1
x
−
1
\frac{x^3-3x^2+3x-1}{x-1}
x
−
1
x
3
−
3
x
2
+
3
x
−
1
rewritten as
q
(
x
)
+
r
(
x
)
x
−
1
q(x)+\frac{r(x)}{x-1}
q
(
x
)
+
x
−
1
r
(
x
)
?
QUESTION
What is
6
x
2
+
7
x
−
3
3
x
+
1
\frac{6x^2+7x-3}{3x+1}
3
x
+
1
6
x
2
+
7
x
−
3
rewritten as
q
(
x
)
+
r
(
x
)
3
x
+
1
q(x)+\frac{r(x)}{3x+1}
q
(
x
)
+
3
x
+
1
r
(
x
)
?
QUESTION
What is
x
3
−
1
x
−
1
\frac{x^3-1}{x-1}
x
−
1
x
3
−
1
rewritten as
q
(
x
)
+
r
(
x
)
x
−
1
q(x)+\frac{r(x)}{x-1}
q
(
x
)
+
x
−
1
r
(
x
)
?
Tap to flip before you grade
ANSWER
x
2
+
x
+
1
+
0
x
−
1
x^2+x+1+\frac{0}{x-1}
x
2
+
x
+
1
+
x
−
1
0
. Use identity
x
3
−
1
=
(
x
−
1
)
(
x
2
+
x
+
1
)
x^3-1=(x-1)(x^2+x+1)
x
3
−
1
=
(
x
−
1
)
(
x
2
+
x
+
1
)
for exact division.
Swipe → got it · swipe ← still learning
Got it
Still learning
Flip Card
Previous card
Next card