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Mathematics
Problem
The cubic polynomial
f
(
x
)
=
2
x
3
+
3
x
2
−
11
x
−
6
f(x)=2x^3+3x^2-11x-6
f
(
x
)
=
2
x
3
+
3
x
2
−
11
x
−
6
is given. a. (i) Evaluate
f
(
2
)
f(2)
f
(
2
)
. b. (ii) Hence, verify whether
(
x
−
2
)
(x-2)
(
x
−
2
)
is a factor of
f
(
x
)
f(x)
f
(
x
)
. c. (iii) After confirming your answer in part (ii), factorise
f
(
x
)
f(x)
f
(
x
)
completely into linear factors.
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