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Mathematics
Problem
When a polynomial
p
(
x
)
p(x)
p
(
x
)
satisfies
p
(
3
)
=
0
p(3)=0
p
(
3
)
=
0
, which one of the following statements is always true? a)
x
+
3
is a factor of
p
(
x
)
x+3 \text{ is a factor of } p(x)
x
+
3
is a factor of
p
(
x
)
b)
The remainder on dividing
p
(
x
)
by
x
−
3
is
3
\text{The remainder on dividing } p(x) \text{ by } x-3 \text{ is } 3
The remainder on dividing
p
(
x
)
by
x
−
3
is
3
c)
x
−
3
is a factor of
p
(
x
)
x-3 \text{ is a factor of } p(x)
x
−
3
is a factor of
p
(
x
)
d)
The degree of
p
(
x
)
is
3
\text{The degree of } p(x) \text{ is } 3
The degree of
p
(
x
)
is
3
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