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Mathematics
Mathematics
Problem
A polynomial
2
x
4
+
5
x
2
+
4
x
+
1
2x^4 + 5x^2 + 4x + 1
2
x
4
+
5
x
2
+
4
x
+
1
is divided by a quadratic polynomial
d
(
x
)
d(x)
d
(
x
)
to give the quotient
2
x
2
+
3
2x^2 + 3
2
x
2
+
3
and the remainder
4
x
−
2
4x - 2
4
x
−
2
. Determine
d
(
x
)
d(x)
d
(
x
)
. a)
x
2
+
2
x^{2}+2
x
2
+
2
b)
x
2
+
2
x
+
1
x^{2}+2x+1
x
2
+
2
x
+
1
c)
x
2
+
1
x^{2}+1
x
2
+
1
d)
x
2
−
1
x^{2}-1
x
2
−
1
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