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Mathematics
Mathematics
Problem
Let
r
(
x
)
=
2
x
3
−
3
x
2
−
11
x
+
6
r(x)=2x^{3}-3x^{2}-11x+6
r
(
x
)
=
2
x
3
−
3
x
2
−
11
x
+
6
. a. (i) Show that
x
=
3
x=3
x
=
3
is a zero of
r
(
x
)
r(x)
r
(
x
)
. b. (ii) Divide
r
(
x
)
r(x)
r
(
x
)
by
(
x
−
3
)
(x-3)
(
x
−
3
)
and write the quotient. c. (iii) Factorise
r
(
x
)
r(x)
r
(
x
)
completely into linear factors. d. (iv) Hence, write all the zeros of
r
(
x
)
r(x)
r
(
x
)
.
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