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Mathematics
Problem
Given
k
(
x
)
=
5
(
x
2
−
1
)
(
x
3
+
2
x
−
4
)
k(x)=5(x^{2}-1)(x^{3}+2x-4)
k
(
x
)
=
5
(
x
2
−
1
)
(
x
3
+
2
x
−
4
)
, find
k
′
(
x
)
k'(x)
k
′
(
x
)
in its simplest polynomial form. a)
25
x
4
+
15
x
2
−
8
x
−
10
25x^{4}+15x^{2}-8x-10
25
x
4
+
15
x
2
−
8
x
−
10
b)
10
x
4
+
20
x
2
−
40
x
10x^{4}+20x^{2}-40x
10
x
4
+
20
x
2
−
40
x
c)
25
x
4
+
15
x
2
−
40
x
−
10
25x^{4}+15x^{2}-40x-10
25
x
4
+
15
x
2
−
40
x
−
10
d)
5
x
4
+
3
x
2
−
8
x
−
2
5x^{4}+3x^{2}-8x-2
5
x
4
+
3
x
2
−
8
x
−
2
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