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Mathematics
Problem
The polynomial
p
(
x
)
=
2
x
3
−
3
x
2
−
8
x
+
12
p(x)=2x^{3}-3x^{2}-8x+12
p
(
x
)
=
2
x
3
−
3
x
2
−
8
x
+
12
can be completely factorised over the real numbers. Which of the following is the correct factorisation? a)
(
x
−
2
)
(
x
+
2
)
(
2
x
+
3
)
(x-2)(x+2)(2x+3)
(
x
−
2
)
(
x
+
2
)
(
2
x
+
3
)
b)
(
x
−
2
)
(
2
x
−
3
)
(
x
+
2
)
(x-2)(2x-3)(x+2)
(
x
−
2
)
(
2
x
−
3
)
(
x
+
2
)
c)
(
x
−
2
)
(
2
x
+
3
)
(
x
−
2
)
(x-2)(2x+3)(x-2)
(
x
−
2
)
(
2
x
+
3
)
(
x
−
2
)
d)
(
x
+
2
)
(
2
x
+
3
)
(
x
−
2
)
(x+2)(2x+3)(x-2)
(
x
+
2
)
(
2
x
+
3
)
(
x
−
2
)
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