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Mathematics
Problem
For the polynomial
f
(
x
)
=
4
x
4
−
x
3
+
2
x
2
−
5
x
+
1
f(x)=4x^4 - x^3 + 2x^2 - 5x + 1
f
(
x
)
=
4
x
4
−
x
3
+
2
x
2
−
5
x
+
1
, find the remainder in each of the following cases: a. (i) When
f
(
x
)
f(x)
f
(
x
)
is divided by
(
x
−
1
2
)
(x-\frac{1}{2})
(
x
−
2
1
)
b. (ii) When
f
(
x
)
f(x)
f
(
x
)
is divided by
(
x
+
3
)
(x+\sqrt{3})
(
x
+
3
)
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