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Mathematics
Problem
For the polynomial
p
(
x
)
=
2
x
3
+
b
x
2
+
c
x
−
30
p(x)=2x^{3}+bx^{2}+cx-30
p
(
x
)
=
2
x
3
+
b
x
2
+
c
x
−
30
, it is given that
x
=
3
x=3
x
=
3
is a zero of
p
(
x
)
p(x)
p
(
x
)
and
(
x
+
2
)
(x+2)
(
x
+
2
)
is also a factor of
p
(
x
)
p(x)
p
(
x
)
. Determine the values of
b
b
b
and
c
c
c
.
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