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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
3
x
4
−
2
x
3
+
5
x
−
7
f(x)=3x^{4}-2x^{3}+5x-7
f
(
x
)
=
3
x
4
−
2
x
3
+
5
x
−
7
. (i) Divide
f
(
x
)
f(x)
f
(
x
)
by
x
−
2
x-2
x
−
2
and write the quotient and remainder. (ii) Using the division obtained in part (i), find the value of
f
(
2
)
f(2)
f
(
2
)
without substituting
x
=
2
x=2
x
=
2
directly in
f
(
x
)
f(x)
f
(
x
)
.
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