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Mathematics
Problem
Find the quotient and remainder when
2
x
3
+
3
x
2
−
5
x
+
6
2x^{3}+3x^{2}-5x+6
2
x
3
+
3
x
2
−
5
x
+
6
is divided by
x
2
+
x
+
1
x^{2}+x+1
x
2
+
x
+
1
. a) Quotient
=
2
x
+
1
=2x+1
=
2
x
+
1
, Remainder
=
8
x
+
5
=8x+5
=
8
x
+
5
b) Quotient
=
2
x
+
1
=2x+1
=
2
x
+
1
, Remainder
=
−
8
x
+
5
=-8x+5
=
−
8
x
+
5
c) Quotient
=
2
x
−
1
=2x-1
=
2
x
−
1
, Remainder
=
−
8
x
+
5
=-8x+5
=
−
8
x
+
5
d) Quotient
=
2
x
+
1
=2x+1
=
2
x
+
1
, Remainder
=
−
8
x
−
5
=-8x-5
=
−
8
x
−
5
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