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Mathematics
Problem
The polynomial
f
(
x
)
f(x)
f
(
x
)
is of degree
4
4
4
with leading coefficient
2
2
2
and its
x
3
x^{3}
x
3
term has coefficient
0
0
0
. When
f
(
x
)
f(x)
f
(
x
)
is divided by
x
2
−
1
x^{2}-1
x
2
−
1
, the quotient is
2
x
2
+
k
x
+
3
2x^{2}+kx+3
2
x
2
+
k
x
+
3
and the remainder is
5
x
+
7
5x+7
5
x
+
7
. What is the value of
k
k
k
? a)
5
5
5
b)
1
1
1
c)
0
0
0
d)
−
2
-2
−
2
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