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Mathematics
Mathematics
Problem
A polynomial
p
(
x
)
=
x
4
−
3
x
3
+
x
2
−
5
x
+
2
p(x)=x^{4}-3x^{3}+x^{2}-5x+2
p
(
x
)
=
x
4
−
3
x
3
+
x
2
−
5
x
+
2
is exactly expressed in the form
p
(
x
)
=
(
x
2
−
2
)
(
x
2
−
3
x
+
3
)
+
(
r
x
+
s
)
.
p(x)=(x^{2}-2)(x^{2}-3x+3)+(rx+s).
p
(
x
)
=
(
x
2
−
2
)
(
x
2
−
3
x
+
3
)
+
(
r
x
+
s
)
.
Find the values of
r
r
r
and
s
s
s
.
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