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Mathematics
Mathematics
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
. It is given that: (i)
P
(
1
)
=
2
P(1)=2
P
(
1
)
=
2
(ii)
P
(
−
1
)
=
−
2
P(-1)=-2
P
(
−
1
)
=
−
2
(iii)
(
x
−
2
)
(x-2)
(
x
−
2
)
is a factor of
P
(
x
)
P(x)
P
(
x
)
(iv)
P
(
0
)
=
5
P(0)=5
P
(
0
)
=
5
Find the values of
a
a
a
,
b
b
b
,
c
c
c
and
d
d
d
.
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