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Mathematics
Mathematics
Problem
Find the values of
a
a
a
and
b
b
b
if the polynomial
p
(
x
)
=
2
x
3
+
a
x
2
+
b
x
+
15
p(x)=2x^{3}+ax^{2}+bx+15
p
(
x
)
=
2
x
3
+
a
x
2
+
b
x
+
15
leaves a remainder
5
5
5
when divided by
x
−
2
x-2
x
−
2
and is exactly divisible by
x
+
1
x+1
x
+
1
.
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