Integrating, Long Division, Completing the Square
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Perform long division:
x
3
+
2
x
2
+
x
+
1
x
+
1
\frac{x^3 + 2x^2 + x + 1}{x + 1}
x
+
1
x
3
+
2
x
2
+
x
+
1
.
QUESTION
Complete the square for
x
2
+
2
x
+
1
x^2 + 2x + 1
x
2
+
2
x
+
1
. What is the result?
QUESTION
Perform polynomial division:
x
3
−
6
x
2
+
11
x
−
6
x
−
2
\frac{x^3 - 6x^2 + 11x - 6}{x - 2}
x
−
2
x
3
−
6
x
2
+
11
x
−
6
.
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ANSWER
x
2
−
4
x
+
3
x^2 - 4x + 3
x
2
−
4
x
+
3
. Synthetic or long division of cubic by linear factor.
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