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Mathematics
Mathematics
Problem
When
p
(
x
)
=
2
x
3
+
3
x
2
+
a
x
+
4
p(x)=2x^{3}+3x^{2}+ax+4
p
(
x
)
=
2
x
3
+
3
x
2
+
a
x
+
4
is divided by
x
−
1
x-1
x
−
1
, the quotient is
2
x
2
+
5
x
+
b
2x^{2}+5x+b
2
x
2
+
5
x
+
b
and the remainder is
7
7
7
. Determine the values of
a
a
a
and
b
b
b
.
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