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Mathematics
Problem
The cubic polynomial
p
(
x
)
=
x
3
+
a
x
2
+
b
x
−
6
p(x)=x^{3}+ax^{2}+bx-6
p
(
x
)
=
x
3
+
a
x
2
+
b
x
−
6
satisfies
p
(
1
)
=
0
p(1)=0
p
(
1
)
=
0
and
p
(
2
)
=
6
p(2)=6
p
(
2
)
=
6
. Find the value of
a
+
b
a+b
a
+
b
. a)
10
10
10
b)
5
5
5
c)
−
5
-5
−
5
d)
2
2
2
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