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Mathematics
Problem
When the polynomial
f
(
x
)
=
4
x
3
+
p
x
2
+
q
x
+
r
f(x)=4x^{3}+px^{2}+qx+r
f
(
x
)
=
4
x
3
+
p
x
2
+
q
x
+
r
is divided by
x
−
3
x-3
x
−
3
, the quotient obtained is
4
x
2
+
2
x
−
1
4x^{2}+2x-1
4
x
2
+
2
x
−
1
and the remainder is
12
12
12
. What is the value of
r
r
r
? a)
3
3
3
b)
−
15
-15
−
15
c)
15
15
15
d)
12
12
12
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