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Mathematics
Mathematics
Problem
Consider the polynomial
p
(
x
)
=
2
x
3
+
m
x
2
+
5
x
−
7
p(x)=2x^3+mx^2+5x-7
p
(
x
)
=
2
x
3
+
m
x
2
+
5
x
−
7
. a. (i) Find the remainder obtained when
p
(
x
)
p(x)
p
(
x
)
is divided by
(
x
−
1
)
(x-1)
(
x
−
1
)
. b. (ii) Hence determine the value of
m
m
m
for which
(
x
−
1
)
(x-1)
(
x
−
1
)
is a factor of
p
(
x
)
p(x)
p
(
x
)
.
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