Questions asked by Asif Iqbal Apurba
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Show that if the polynomial
f
(
x
)
=
a
x
3
+
3
b
x
2
+
3
c
x
+
d
is divided exactly by
g
(
x
)
=
a
x
2
+
2
b
x
+
c
, then
f
(
x
)
is a perfect cube, while
g
(
x
)
is a perfect square?