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Mathematics
Mathematics
Problem
Let
p
(
x
)
=
x
+
3
x
2
−
(
k
+
1
)
x
+
k
.
p(x)=\frac{x+3}{x^2-(k+1)x+k}.
p
(
x
)
=
x
2
−
(
k
+
1
)
x
+
k
x
+
3
.
Determine the value of
k
k
k
for which
p
(
x
)
p(x)
p
(
x
)
is undefined exactly at
x
=
1
x=1
x
=
1
and
x
=
2
x=2
x
=
2
, and at no other real value of
x
x
x
.
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