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Let be a polynomial such that , ,
MATHEMATICS · Subjective · AoPS · Mathematics · Polynomials · Polynomials
Problem
Let
p
(
x
)
=
x
4
+
a
x
3
+
b
x
2
+
c
x
+
d
p(x)=x^4+ax^3+bx^2+cx+d
p
(
x
)
=
x
4
+
a
x
3
+
b
x
2
+
c
x
+
d
be a polynomial such that
p
(
1
)
=
1
p(1)=1
p
(
1
)
=
1
,
p
(
2
)
=
8
p(2)=8
p
(
2
)
=
8
,
p
(
3
)
=
27
p(3)=27
p
(
3
)
=
27
, and
p
(
4
)
=
64
p(4)=64
p
(
4
)
=
64
. Then find
p
(
10
)
p(10)
p
(
10
)
.
Related theory
Functions
Division Algorithm for Polynomials
Polynomials
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