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Mathematics
Mathematics
Problem
Consider the polynomial
f
(
x
)
=
2
x
3
−
x
2
−
7
x
+
6
f(x)=2x^{3}-x^{2}-7x+6
f
(
x
)
=
2
x
3
−
x
2
−
7
x
+
6
. a. (i) Show that
x
=
1
x=1
x
=
1
is a zero of
f
(
x
)
f(x)
f
(
x
)
. b. (ii) Factorise
f
(
x
)
f(x)
f
(
x
)
completely. c. (iii) Hence, write all the zeros of
f
(
x
)
f(x)
f
(
x
)
.
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