Find a degree
3
\displaystyle {3}
3
polynomial that has zeros
−
3
\displaystyle -{3}
−
3
,
1
\displaystyle {1}
1
and
5
\displaystyle {5}
5
and in which the coefficient of
x
2
\displaystyle {x}^{{2}}
x
2
is
−
12
\displaystyle -{12}
−
12
.
The polynomial is
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