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Mathematics
Mathematics
Problem
The polynomial
f
(
x
)
=
x
3
+
p
x
2
+
q
x
+
6
f(x)=x^{3} + px^{2} + qx + 6
f
(
x
)
=
x
3
+
p
x
2
+
q
x
+
6
leaves a remainder
4
4
4
when divided by
x
−
1
x - 1
x
−
1
and a remainder
−
8
-8
−
8
when divided by
x
+
2
x + 2
x
+
2
. a. (i) Find the value of
p
p
p
. b. (ii) Find the value of
q
q
q
.
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