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Mathematics
Problem
Let
q
(
x
)
=
x
3
−
4
x
2
+
5
x
−
2
q(x)=x^{3}-4x^{2}+5x-2
q
(
x
)
=
x
3
−
4
x
2
+
5
x
−
2
. Work through the steps below. a. (i) Show that
x
=
1
x=1
x
=
1
is a zero of
q
(
x
)
q(x)
q
(
x
)
. b. (ii) Using the result of part (i), factorise
q
(
x
)
q(x)
q
(
x
)
completely. c. (iii) Hence write all the zeros of
q
(
x
)
q(x)
q
(
x
)
.
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