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Mathematics
Mathematics
Problem
The polynomial
h
(
x
)
=
x
4
−
4
x
3
−
x
2
+
16
x
−
12
h(x)=x^{4}-4x^{3}-x^{2}+16x-12
h
(
x
)
=
x
4
−
4
x
3
−
x
2
+
16
x
−
12
has
(
x
−
1
)
(x-1)
(
x
−
1
)
and
(
x
+
2
)
(x+2)
(
x
+
2
)
as factors. Factorise
h
(
x
)
h(x)
h
(
x
)
completely and state all its zeros.
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