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Mathematics
Mathematics
Problem
If
p
(
a
)
=
0
p(a)=0
p
(
a
)
=
0
for a polynomial
p
(
x
)
p(x)
p
(
x
)
, which of the following must be true? a)
(
x
+
a
)
(x+a)
(
x
+
a
)
is a factor of
p
(
x
)
p(x)
p
(
x
)
b)
(
x
−
a
)
(x-a)
(
x
−
a
)
leaves remainder
a
a
a
when dividing
p
(
x
)
p(x)
p
(
x
)
c)
(
x
−
a
)
(x-a)
(
x
−
a
)
is a factor of
p
(
x
)
p(x)
p
(
x
)
d)
(
x
+
a
)
(x+a)
(
x
+
a
)
leaves remainder
0
0
0
when dividing
p
(
x
)
p(x)
p
(
x
)
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