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Mathematics
Problem
Factorise completely over real numbers:
2
x
3
+
7
x
2
−
7
x
−
30
2x^{3}+7x^{2}-7x-30
2
x
3
+
7
x
2
−
7
x
−
30
. Which of the following is the correct factorisation? a)
(
x
+
2
)
(
2
x
+
5
)
(
x
−
3
)
(x+2)(2x+5)(x-3)
(
x
+
2
)
(
2
x
+
5
)
(
x
−
3
)
b)
(
x
−
2
)
(
2
x
+
3
)
(
x
+
5
)
(x-2)(2x+3)(x+5)
(
x
−
2
)
(
2
x
+
3
)
(
x
+
5
)
c)
(
x
−
2
)
(
2
x
+
5
)
(
x
+
3
)
(x-2)(2x+5)(x+3)
(
x
−
2
)
(
2
x
+
5
)
(
x
+
3
)
d)
(
x
−
2
)
(
2
x
−
5
)
(
x
+
3
)
(x-2)(2x-5)(x+3)
(
x
−
2
)
(
2
x
−
5
)
(
x
+
3
)
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