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Mathematics
Mathematics
Problem
Let
p
(
x
)
=
(
x
−
3
)
(
x
+
2
)
x
3
−
x
2
−
6
x
.
p(x)=\dfrac{(x-3)(x+2)}{x^3-x^2-6x}.
p
(
x
)
=
x
3
−
x
2
−
6
x
(
x
−
3
)
(
x
+
2
)
.
(i) Factor the denominator completely. (ii) Hence, list all real numbers excluded from the domain. (iii) Write the domain of
p
(
x
)
p(x)
p
(
x
)
in interval notation.
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