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The fraction (x + 1)/((x - 2)(x² + 3)) is to be split… | StemPy Lab
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The fraction (x + 1)/((x - 2)(x² + 3)) is to be split into partial fractions over the real numbers. Which form is correct?
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The fraction
x
+
1
(
x
−
2
)
(
x
2
+
3
)
\dfrac{x + 1}{(x - 2)(x^2 + 3)}
(
x
−
2
)
(
x
2
+
3
)
x
+
1
is to be split into partial fractions over the real numbers. Which form is correct?
A
x
−
2
+
B
x
+
3
+
C
x
−
3
\dfrac{A}{x - 2} + \dfrac{B}{x + \sqrt{3}} + \dfrac{C}{x - \sqrt{3}}
x
−
2
A
+
x
+
3
B
+
x
−
3
C
A
x
−
2
+
B
x
+
C
x
2
+
3
\dfrac{A}{x - 2} + \dfrac{Bx + C}{x^2 + 3}
x
−
2
A
+
x
2
+
3
B
x
+
C
A
x
−
2
+
B
x
2
+
3
\dfrac{A}{x - 2} + \dfrac{B}{x^2 + 3}
x
−
2
A
+
x
2
+
3
B
A
x
+
B
x
−
2
+
C
x
2
+
3
\dfrac{Ax + B}{x - 2} + \dfrac{C}{x^2 + 3}
x
−
2
A
x
+
B
+
x
2
+
3
C
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