Find a cubic polynomial whose zeros are 4,-3, -1
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given roots are
3
,
5
,
−
2
therefore the cubic equation with above roots are
(
x
−
3
)
(
x
−
5
)
(
x
−
2
)
simplifying it we get
(
x
−
3
)
(
x
−
5
)
(
x
+
2
)
=
(
x
2
−
8
x
+
15
)
(
x
+
2
)
=
x
3
−
6
x
2
−
x
+
30
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