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Mathematics
Problem
A polynomial
f
(
x
)
f(x)
f
(
x
)
is divided by
x
2
+
2
x
+
3
x^{2}+2x+3
x
2
+
2
x
+
3
and the remainder is
0
0
0
. Which of the following statements must be true? a) The quotient of the division must be linear. b)
x
2
+
2
x
+
3
x^{2}+2x+3
x
2
+
2
x
+
3
is a factor of
f
(
x
)
f(x)
f
(
x
)
. c)
f
(
−
1
)
=
0
f(-1)=0
f
(
−
1
)
=
0
. d)
f
(
x
)
f(x)
f
(
x
)
must be a quadratic polynomial.
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