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Mathematics
Mathematics
Problem
Let
p
(
x
)
p(x)
p
(
x
)
be a polynomial. If
p
(
5
)
=
0
p(5)=0
p
(
5
)
=
0
, which of the following statements is true? a)
(
x
+
5
)
(x+5)
(
x
+
5
)
is a factor of
p
(
x
)
p(x)
p
(
x
)
. b) On dividing
p
(
x
)
p(x)
p
(
x
)
by
(
x
−
5
)
(x-5)
(
x
−
5
)
, the remainder is
5
5
5
. c)
(
x
−
5
)
(x-5)
(
x
−
5
)
is a factor of
p
(
x
)
p(x)
p
(
x
)
. d) The degree of
p
(
x
)
p(x)
p
(
x
)
is 5.
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