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Mathematics
Mathematics
Problem
Let
f
(
x
)
f(x)
f
(
x
)
be divided by a quadratic polynomial
g
(
x
)
g(x)
g
(
x
)
of degree
2
2
2
, giving quotient
q
(
x
)
q(x)
q
(
x
)
and remainder
r
(
x
)
r(x)
r
(
x
)
. Which of the following is always true? a)
deg
r
(
x
)
=
1
\deg r(x)=1
de
g
r
(
x
)
=
1
b)
deg
r
(
x
)
=
2
\deg r(x)=2
de
g
r
(
x
)
=
2
c)
deg
r
(
x
)
<
2
\deg r(x) < 2
de
g
r
(
x
)
<
2
d)
r
(
x
)
r(x)
r
(
x
)
is always a constant (degree
0
0
0
)
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