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Mathematics
Mathematics
Problem
For the polynomial
q
(
x
)
=
2
x
3
−
3
x
2
−
11
x
+
6
q(x)=2x^{3}-3x^{2}-11x+6
q
(
x
)
=
2
x
3
−
3
x
2
−
11
x
+
6
, answer the following. a. (i) Show that
x
=
3
x=3
x
=
3
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, determine all the zeros of
q
(
x
)
q(x)
q
(
x
)
.
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