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Mathematics
Problem
The polynomial
q
(
x
)
=
4
x
3
+
4
x
2
−
7
x
+
2
q(x)=4x^3+4x^2-7x+2
q
(
x
)
=
4
x
3
+
4
x
2
−
7
x
+
2
has
x
=
1
2
x=\frac{1}{2}
x
=
2
1
as a zero. Which one of the following is the complete factorisation of
q
(
x
)
q(x)
q
(
x
)
over the real numbers? a)
(
2
x
−
1
)
2
(
x
−
2
)
(2x-1)^2(x-2)
(
2
x
−
1
)
2
(
x
−
2
)
b)
(
2
x
−
1
)
(
x
+
1
)
(
2
x
+
2
)
(2x-1)(x+1)(2x+2)
(
2
x
−
1
)
(
x
+
1
)
(
2
x
+
2
)
c)
(
2
x
−
1
)
2
(
x
+
2
)
(2x-1)^2(x+2)
(
2
x
−
1
)
2
(
x
+
2
)
d)
(
2
x
−
1
)
(
x
+
2
)
2
(2x-1)(x+2)^2
(
2
x
−
1
)
(
x
+
2
)
2
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