Find the value of 
k
k
so that the remainder is 
−
12
-
12
for 
(
2
x
4
+
4
x
3
−
7
x
2
−
k
x
+
9
)
÷
(
x
−
1
)
(
2
x
4
+
4
x
3
-
7
x
2
-
k
x
+
9
)
÷
(
x
-
1
)
Evaluate the Function
Use the given functions to set up and simplify
(
2
x
4
+
4
x
3
−
7
x
2
−
k
x
+
9
)
÷
(
x
−
1
)
(
2
x
4
+
4
x
3
-
7
x
2
-
k
x
+
9
)
÷
(
x
-
1
)
.
k
=
k
=
−
12
=
-
12
=
(
2
x
4
+
4
x
3
−
7
x
2
−
k
x
+
9
)
÷
(
x
−
1
)
=
2
x
4
+
4
x
3
−
k
x
−
7
x
2
+
9
x
−
1
(
2
x
4
+
4
x
3
-
7
x
2
-
k
x
+
9
)
÷
(
x
-
1
)
=
2
x
4
+
4
x
3
-
k
x
-
7
x
2
+
9
x
-
1
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Find the value of 
k
k
so that the remainder is 
−
1
2
-
1
2
for 
(
2
x
4
+
4
x
3
−
7
x
2
−
k
x
+
9
)
÷
(
x
−
1
)
(
2
x
4
+
4
x
3
-
7
x
2
-
k
x
+
9
)
÷
(
x
-
1
)

(
2
x
4
+
4
x
3
−
7
x
2
−
k
x
+
9
)
÷
(
x
−
1
)
(
2
x
4
+
4
x
3
-
7
x
2
-
k
x
+
9
)
÷
(
x
-
1
)