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Mathematics
Mathematics
Problem
For
k
∈
R
k\in\mathbb{R}
k
∈
R
, the rational function
2
x
+
k
(
x
−
5
)
(
x
+
1
)
\dfrac{2x+k}{(x-5)(x+1)}
(
x
−
5
)
(
x
+
1
)
2
x
+
k
can be written in the form
A
x
−
5
+
B
x
+
1
\dfrac{A}{x-5}+\dfrac{B}{x+1}
x
−
5
A
+
x
+
1
B
. In terms of
k
k
k
, what is
B
B
B
? a)
−
k
+
2
4
-\dfrac{k+2}{4}
−
4
k
+
2
b)
k
+
10
6
\dfrac{k+10}{6}
6
k
+
10
c)
2
−
k
6
\dfrac{2-k}{6}
6
2
−
k
d)
k
−
2
6
\dfrac{k-2}{6}
6
k
−
2
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