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Mathematics
Mathematics
Problem
Let
a
≠
0
a \neq 0
a
=
0
and
p
(
x
)
p(x)
p
(
x
)
be a polynomial of degree greater than 2, if
p
(
x
)
p(x)
p
(
x
)
leaves remainder
a
a
a
and
(
−
a
)
(-a)
(
−
a
)
when divided respectively by
x
+
a
x+a
x
+
a
and
x
−
a
x-a
x
−
a
, the remainder when
p
(
x
)
p(x)
p
(
x
)
is divided by
x
2
−
a
2
x^2 - a^2
x
2
−
a
2
, is a.
2
x
2x
2
x
b.
−
2
x
-2x
−
2
x
c.
x
x
x
d.
−
x
-x
−
x
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