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Mathematics
Mathematics
Problem
Find the cubic polynomial
p
(
x
)
=
a
x
3
+
b
x
2
+
c
x
+
d
p(x)=ax^{3}+bx^{2}+cx+d
p
(
x
)
=
a
x
3
+
b
x
2
+
c
x
+
d
that satisfies
p
(
0
)
=
0
p(0)=0
p
(
0
)
=
0
,
p
′
(
0
)
=
1
p'(0)=1
p
′
(
0
)
=
1
,
p
′
′
(
0
)
=
−
1
p''(0)=-1
p
′′
(
0
)
=
−
1
, and
p
′
′
′
(
0
)
=
2
p'''(0)=2
p
′′′
(
0
)
=
2
. Write
p
(
x
)
p(x)
p
(
x
)
in standard form.
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