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Mathematics
Problem
Find the values of
p
p
p
and
q
q
q
if the polynomial
g
(
x
)
=
2
x
3
+
p
x
2
+
q
x
−
20
g(x)=2x^{3}+px^{2}+qx-20
g
(
x
)
=
2
x
3
+
p
x
2
+
q
x
−
20
is divisible by both
x
−
2
x-2
x
−
2
and
x
+
3
x+3
x
+
3
.
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