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Mathematics
Problem
The polynomial
q
(
x
)
=
3
x
2
−
5
x
+
2
q(x)=3x^{2}-5x+2
q
(
x
)
=
3
x
2
−
5
x
+
2
is tested at
x
=
2
x=2
x
=
2
. Calculate
q
(
2
)
q(2)
q
(
2
)
and hence explain, in one sentence, whether
(
x
−
2
)
(x-2)
(
x
−
2
)
is a factor of
q
(
x
)
q(x)
q
(
x
)
.
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