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Mathematics
Mathematics
Problem
Given
p
(
x
)
=
x
4
−
4
x
3
+
6
x
2
p(x)=x^4-4x^3+6x^2
p
(
x
)
=
x
4
−
4
x
3
+
6
x
2
, a. (i) Find
p
′
(
x
)
p'(x)
p
′
(
x
)
. b. (ii) Factorise
p
′
(
x
)
p'(x)
p
′
(
x
)
completely. c. (iii) Hence, determine the value(s) of
x
x
x
for which
p
′
(
x
)
=
0
p'(x)=0
p
′
(
x
)
=
0
.
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