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Mathematics
Mathematics
Problem
Let
f
(
x
)
=
x
3
−
6
x
2
+
12
x
−
8
f(x)=x^{3}-6x^{2}+12x-8
f
(
x
)
=
x
3
−
6
x
2
+
12
x
−
8
. a. (i) Factorise
f
(
x
)
f(x)
f
(
x
)
completely. b. (ii) State the multiplicity of each root obtained in part (i). c. (iii) Verify each root by direct substitution in
f
(
x
)
f(x)
f
(
x
)
and present the verification clearly.
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